Theodolit - muslimah.xls

PROFIL MEMANJANGKonversi ke bentuk decimal degreeDari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degreeContoh:

197° 36' 40"= 197 +

36+

4060 3600

= 197 + 0.6 + 0.0111= 197.611111

Profil MemanjangPerhitungan jarak sudut horizontalRumus :

Σβ = β1 + β2 + β3 + … βn

β P1 = 178 ° 32 5 " = 178.5347β P2 = 231 ° 4 35 " = 231.0764β P3 = 288 ° 2 20 " = 288.0389β P4 = 192 ° 56 5 " = 192.9347β P5 = 221 ° 15 35 " = 221.2597β P6 = 250 ° 28 25 " = 250.4736β P0 = 245 ° 19 45 " = 245.3292

Σβ = 1607.6472 1607.6472

β P0 = 0 ° 1 50 " = 0.0306Koreksi sudut (Σk)Rumus :

Σk == ( 7 + 2 ) . 180 ° - 1607.6472= -12.3528

Rumus :

∆β =Σkn

=-12.3528

7= -1.7647

Perhitungan sudut horizontal terkoreksiRumus :

βn = βn ± ∆ββP1 = 178.5347 - -1.7647 = 180.2994 0.68553241

= 231.0764 - -1.7647 = 232.8411 0.68553241 278 15 50

= 288.0389 - -1.7647 = 289.8036 0.68553241

= 192.9347 - -1.7647 = 194.6994 0.68553241

= 221.2597 - -1.7647 = 223.0244 0.68553241

Σβ-(n±2). 180°

Koreksi sudut horizontal (∆β)

βP2

βP3

βP4

βP5

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Khansa' Fatimah Az Zahrah: Sama semua ji kalau yang disini! 3 hari asistensi ternyata datanya kita yang salah T_T

AQ28

Khansa' Fatimah Az Zahrah: Masih sama!

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Khansa' Fatimah Az Zahrah: masih sama! Harus 0,… dapatnya, semakin besar koreksi semakin besar sudut yang keluar saat kita mengukur!

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= 250.4736 - -1.7647 = 252.2383 0.68553241βP0 = 245.3292 - -1.7647 = 247.0938 0.68553241

Ketentuan dari asisten nilai alfa u!Rumus : β P0 = 120 ° 42 40 " = 120.7111

αn = αn-1 ± βn (koreksi) ± 180 °β P0 = 278 ° 15 50 " = 278.2639

α0 = 278.2639 α0 = 278.2639

= 278.2639 + 180.2994 + -180 = 278.5633 α1 = 278.2639 + 178.5347 - -1.7647 - 180 = 278.5633

= 278.5633 + 232.8411 + -180 = 331.4044 α2 = 278.5633 + 231.0764 - -1.7647 - 180 = 331.4044

= 331.4044 + 289.8036 + -180 = 441.2079 α3 = 331.4044 + 288.0389 - -1.7647 - 180 = 441.2079

= 441.2079 + 194.6994 + -180 = 455.9073 α4 = 441.2079 + 192.9347 - -1.7647 - 180 = 455.9073

= 455.9073 + 223.0244 + -180 = 498.9317 α5 = 455.9073 + 221.2597 - -1.7647 - 180 = 498.9317

= 498.9317 + 252.2383 + -180 = 571.1700 α6 = 498.9317 + 250.4736 - -1.7647 - 180 = 571.1700

α0 = 571.1700 + 247.0938 + -180 = 638.2639 α0 = 571.1700 + 245.3292 - -1.7647 - 180 = 638.2639278.2639 = 638.2639 - 360 = 278.2639

211.1700 Congratulation

Perhitungan jarak optis patok utamaRumus :

D0n = (Ba-Bb) x 100

Dpn = Do . ( )

Do P0-P1 = ( 1.270 - 0.760 ) x 100 = 51 m Dp P0-P1 = 51 ° cos ( 90 ° - 89.9694 )Do P1-P2 = ( 1.380 - 0.860 ) x 100 = 52 m Dp P1-P2 = 52 ° cos ( 90 ° - 89.9694 )Do P2-P3 = ( 1.090 - 0.600 ) x 100 = 49 m Dp P2-P3 = 49 ° cos ( 90 ° - 89.9708 )Do P3-P4 = ( 2.820 - 2.320 ) x 100 = 50 m Dp P3-P4 = 50 ° cos ( 90 ° - 89.9347 )Do P4-P5 = ( 2.080 - 1.550 ) x 100 = 53 m Dp P4-P5 = 53 ° cos ( 90 ° - 89.9694 )Do P5-P6 = ( 1.830 - 1.330 ) x 100 = 50 m Dp P5-P6 = 50 ° cos ( 90 ° - 89.9347 )Do P6-P0 = ( 1.240 - 0.840 ) x 100 = 40 m Dp P6-P7 = 40 ° cos ( 90 ° - 89.9694 )

ΣD0 = 345 m

Perhitungan jarak proyeksi patok utama (Dpn)Rumus :

Dpn = Do . )( ) cos )

Dp P0-P1 = 89 ° 58 10 " = 89.9694 51 x ( 90 - 89.9694 ) = 0.0306 0.9999999Dp P1-P2 = 89 ° 58 10 " = 89.9694 52 x ( 90 - 89.9694 ) = 0.0306 0.9999999Dp P2-P3 = 89 ° 58 15 " = 89.9708 49 x ( 90 - 89.9708 ) = 0.0292 0.9999999Dp P3-P4 = 89 ° 56 5 " = 89.9347 50 x ( 90 - 89.9347 ) = 0.0653 0.9999994Dp P4-P5 = 89 ° 58 10 " = 89.9694 53 x ( 90 - 89.9694 ) = 0.0306 0.9999999Dp P5-P6 = 89 ° 56 5 " = 89.9347 50 x ( 90 - 89.9347 ) = 0.0653 0.9999994Dp P6-P7 = 89 ° 58 10 " = 89.9694 40 x ( 90 - 89.9694 ) = 0.0306 0.9999999

βP6

Perhitungan azimut benar patok utama (αn)

α1

α2

α3

α4

α5

α6

cos² 90°-γ

cos² ( 90°-γ90°-γ (90°-γ

cos²cos²cos²cos²cos²cos²cos²

AD51

Khansa' Fatimah Az Zahrah: ganti, sesuai yg dikasi assisten!

W54

Khansa' Fatimah Az Zahrah: ubah jg sininya, tergantung alfa apa yg kln dksi apakah alfa di p0, alfa di p1, dll

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Khansa' Fatimah Az Zahrah: perhatikan nilai alfa yg disini! Harus sama yg dikasi assiten!

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Khansa' Fatimah Az Zahrah: tls sesuai alfa yang sama di atas (paling pertama) cz hitungan pasti kembali sama dengan yang pertama cuy…(kl benar hitungan u)

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Khansa' Fatimah Az Zahrah: harus sama dengan alfa yang pertama di atas!

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Khansa' Fatimah Az Zahrah: kl ln klpk ganti deretan ni tergantung dr sudut vertikal yg kln dapat

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Khansa' Fatimah Az Zahrah: sama mua ji, impossssible jaraknya beda

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ΣDpn =Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!

Perhitungan jarak horizontal patok utama (Dxn)Rumus :

Dxn = Dpn .

Dx P0-P1 = 50.99999 x sin 278.2639 = -50.4704Dx P1-P2 = 51.99999 x sin 278.5633 = -51.4203

= 48.99999 x sin 331.4044 = -23.4526

= 49.99994 x sin 441.2079 = 49.4124

= 52.99998 x sin 455.9073 = 52.7185

= 49.99994 x sin 498.9317 = 32.8478Dx P6-P0 = 39.99999 x sin 571.1700 = -20.7032

ΣDxn = -11.0677

Perhitungan jarak vertikal patok utama Rumus :

Dyn = Dpn

Dx P0-P1 = 50.99999 x cos 278.2639 = 7.3304Dx P1-P2 = 51.99999 x cos 278.5633 = 7.7429

= 48.99999 x cos 331.4044 = 43.0229

= 49.99994 x cos 441.2079 = 7.6424

= 52.99998 x cos 455.9073 = -5.4548

= 49.99994 x cos 498.9317 = -37.6963Dx P6-P0 = 39.99999 x cos 571.1700 = -34.2254

ΣDyn = -11.6378

Perhitungan koreksi jarak horizontalRumus :

δDxn =Dpn

x ΣDxΣDp

Dx P0-P1 = ( 50.99999 / 344.99980 ) x -11.0677 = -1.636100Dx P1-P2 = ( 51.99999 / 344.99980 ) x -11.0677 = -1.668180

= ( 48.99999 / 344.99980 ) x -11.0677 = -1.571939

= ( 49.99994 / 344.99980 ) x -11.0677 = -1.604018

= ( 52.99998 / 344.99980 ) x -11.0677 = -1.700260

= ( 49.99994 / 344.99980 ) x -11.0677 = -1.604018

sinαn

Dx P2-P3

Dx P3-P4

Dx P4-P5

Dx P5-P6

.cos αn

Dx P2-P3

Dx P3-P4

Dx P4-P5

Dx P5-P6

Dx P2-P3

Dx P3-P4

Dx P4-P5

Dx P5-P6

Dx P6-P0 = ( 39.99999 / 344.99980 ) x -11.0677 = -1.283215ΣδDx = -11.067729 Congratulation ^_^

Perhitungan koreksi jarak vertikalRumus :

δDyn =Dpn

x ΣDyΣDp

Dy P0-P1 = ( 50.99999 / 344.9998 ) x -11.6378 = -1.7204Dy P1-P2 = ( 51.99999 / 344.9998 ) x -11.6378 = -1.7541

= ( 48.99999 / 344.9998 ) x -11.6378 = -1.6529

= ( 49.99994 / 344.9998 ) x -11.6378 = -1.6866

= ( 52.99998 / 344.9998 ) x -11.6378 = -1.7878

= ( 49.99994 / 344.9998 ) x -11.6378 = -1.6866Dy P6-P0 = ( 39.99999 / 344.9998 ) x -11.6378 = -1.3493

ΣδDy = -11.6378 Congratulation ^_^

Perhitungan koordinat horizontal patok utama (Xn)Rumus :

Xn = Xn-1 + Dxn-1 - δDxn-1

Rumus :∆Hn = D0n 1/2

(90°-γ) 2 x (90°-γ) sin 2 x∆H P0-P1 = 51 x 0.5 sin 2 ( 90 ° - 89.9694 ) + ( 1.385 - 1.000 ) = 0.0306 0.061111111111 0.0010665898962128∆H P1-P2 = 52 x 0.5 sin2 ( 90 ° - 89.9694 ) + ( 1.320 - 1.120 ) = 0.0306 0.061111111111 0.0010665898962128∆H P2-P3 = 49 x 0.5 sin 2 ( 90 ° - 89.9708 ) + ( 1.380 - 0.840 ) = 0.0292 0.058333333333 0.00101810855444412∆H P3-P4 = 50 x 0.5 sin 2 ( 90 ° - 89.9347 ) + ( 1.460 - 2.570 ) = 0.0653 0.130555555556 0.00227862232939697∆H P4-P5 = 53 x 0.5 sin 2 ( 90 ° - 89.9694 ) + ( 1.410 - 1.815 ) = 0.0306 0.061111111111 0.0010665898962128∆H P5-P6 = 50 x 0.5 sin 2 ( 90 ° - 89.9347 ) + ( 1.430 - 1.580 ) = 0.0653 0.130555555556 0.00227862232939697∆H P6-P0 = 40 x 0.5 sin 2 ( 90 ° - 89.9694 ) + ( 1.420 - 1.030 ) = 0.0306 0.061111111111 0.0010665898962128

Perhitungan koreksi beda tinggi patok utamaRumus :

δ∆H = -Σ∆Hn

n

=-0.0934

7= -0.0133429



X0 = 150X1 = 150 + -51.4203 - -1.6682 = 100.2479X2 = 100.2479 + -23.4526 - -1.5719 = 78.3672

Dy P2-P3

Dy P3-P4

Dy P4-P5

Dy P5-P6

Perhitungan beda tinggi patok utama (∆Hn)

sin 2 (90°-γ) + (Tpswt - Bt)

X3 = 78.3672 + 49.4124 - -1.6040 = 129.3836X4 = 129.383645 + 52.7185 - -1.7003 = 183.8024X5 = 183.802441 + 32.8478 - -1.6040 = 218.2543X6 = 218.254297 + -20.7032 - -1.2832 = 198.8343X0 = 198.834331 + -50.4704 - -1.6361 = 150.0000

Controling cabinCongratulation^_^

Perhitungan koordinat horizontal patok utama (yn)Rumus

Yn = Yn-1 + Dyn-1 - δDyn-1

Y0 = 200Y1 = 200 + 7.7429 - -1.7541 = 209.4970Y2 = 209.4970 + 43.0229 - -1.6529 = 254.1729Y3 = 254.1729 + 7.6424 - -1.6866 = 263.5019Y4 = 263.5019 + -5.4548 - -1.7878 = 259.8350Y5 = 259.8350 + -37.6963 - -1.6866 = 223.8253Y6 = 223.8253 + -34.2254 - -1.3493 = 190.9493Y0 = 190.9493 + 7.3304 - -1.7204 = 200.0000

Controling cabinCongratulation^_^

Perhitungan kemiringan lereng patok utamaRumus :

\Pn = ∆Hn / D0n x 100 %

\P0-1 = 0.4122 / 51 x 100 % = 0.808231455595 %\P1-2 = 0.2277 / 52 x 100 % = 0.437944879426 %\P2-3 = 0.5649 / 49 x 100 % = 1.152946244049 %\P2-4 = -1.0530 / 50 x 100 % = -2.10606888353 %\P4-5 = -0.3767 / 53 x 100 % = -0.71082144859 %\P5-6 = -0.0930 / 50 x 100 % = -0.18606888353 %\P6-7 = 0.4113 / 40 x 100 % = 1.028329494811 %

Perhitungan Tinggi Titik Patok UtamaRumus :

Pn = Pn-1 ± ∆Hn-1 ± δ∆H

P0 = 1.4000P1 = 1.4000 + 0.4122 + -0.013343 = 1.7989 1.8122P2 = 1.7989 + 0.2277 + -0.013343 = 2.0132 2.0266P3 = 2.0132 + 0.5649 + -0.013343 = 2.5648 2.5782P4 = 2.5648 + -1.0530 + -0.013343 = 1.4985 1.5118P5 = 1.4985 + -0.3767 + -0.013343 = 1.1084 1.1217P6 = 1.1084 + -0.0930 + -0.013343 = 1.0020 1.0154

Perhitungan Luas ArealRumus :

L=

(Xn. Yn+1)-(Yn. Xn+1)2 Y0 = 200 X0 = 150

P0=

( 150.0000 . 209.497 ) - ( 200.0000 . 100.2479 )= 5687.4862

Y1 = 209.4970 X1 = 100.24792 Y2 = 254.1729 X2 = 78.3672

Y3 = 263.5019 X3 = 129.3836P1

=( 100.2479 . 254.173 ) - ( 209.4970 . 78.3672 )

= 4531.2984Y4 = 259.8350 X4 = 183.8024

2 Y5 = 223.8253 X5 = 218.2543Y6 = 190.9493 X6 = 198.8343

P2=

( 78.3672 . 263.502 ) - ( 254.1729 . 129.3836 )= -6117.9491

Y0 = 200.0000 X0 = 150.00002

P3=

( 129.3836 . 259.835 ) - ( 263.5019 . 183.8024 )= -7406.9485

2

P4=

( 183.8024 . 223.825 ) - ( 259.835 . 218.2543 )= -7785.2333

2

P5=

( 218.2543 . 190.949 ) - ( 223.825 . 198.8343 )= -1414.3322

2

P6=

( 198.8343 . 200.000 ) - ( 190.949 . 150.0000 )= 5562.2382

2= 6943.4403= 0.694344029502 Ha

PROFIL MELINTANG

Rumus :αn det = αn + βndet ± 180/540

GANTI INI SESUAI DENGAN DATA U!α0 -> a = #REF! + 28.7514 - #REF! = #REF! Beta de =

b = #REF! + 28.7514 - #REF! = #REF! Beta de =c = #REF! + 208.7514 - #REF! = #REF! Beta de =d = #REF! + 208.7514 - #REF! = #REF! Beta de =e = #REF! + 147.3653 - #REF! = #REF! Beta de =f = #REF! + 184.6278 - #REF! = #REF! Beta de =g = #REF! + 233.6833 - #REF! = #REF! Beta de =

α1 -> a = 278.2639 + 90.1472 - 180 = 188.4111 Beta de =b = 278.2639 + 90.1486 - 180 = 188.4125 Beta de =

m²

m²

m²

m²

m²

m²

m²

m²

Perhitungan Azimut Benar Titik Detail (αn det)

c = 278.2639 + 270.1486 - 540 = 8.4125 Beta de =d = 278.2639 + 270.1486 - 540 = 8.4125 Beta de =e = 278.2639 + 326.1111 - 540 = 64.3750 Beta de =f = 278.2639 + 351.2194 - 540 = 89.4833 Beta de =g = 278.2639 + 334.3986 - 540 = 72.6625 Beta de =

α2 -> a = 180.0000 + 66.5264 - 180 = 66.5264 Beta de =b = 180.0000 + 66.5264 - 180 = 66.5264 Beta de =c = 180.0000 + 246.5264 - 180 = 246.5264 Beta de =d = 180.0000 + 246.5264 - 180 = 246.5264 Beta de =e = 180.0000 + 233.8458 - 180 = 233.8458 Beta de =f = 180.0000 + 275.2986 - 180 = 275.2986 Beta de =g = 180.0000 + 283.8111 - 180 = 283.8111 Beta de =





α7 -> a = 180.0000 + 15.0000 - 180 = 15.0000 Beta de =b = 180.0000 + 15.0000 - 180 = 15.0000 Beta de =

c = 180.0000 + 195.0000 - 180 = 195.0000 Beta de =d = 180.0000 + 195.0000 - 180 = 195.0000 Beta de =e = 180.0000 + 203.2125 - 180 = 203.2125 Beta de =f = 180.0000 + 219.8375 - 180 = 219.8375 Beta de =g = 180.0000 + 254.8069 - 180 = 254.8069 Beta de =

α8 -> a = #REF! + 143.0000 - #REF! = #REF! Beta de =b = #REF! + 143.0000 - #REF! = #REF! Beta de =c = #REF! + 323.0000 - #REF! = #REF! Beta de =d = #REF! + 323.0000 - #REF! = #REF! Beta de =e = #REF! + 284.8458 - #REF! = #REF! Beta de =f = #REF! + 305.8542 - #REF! = #REF! Beta de =g = #REF! + 325.5250 - #REF! = #REF! Beta de =




Perhitungan Jarak Optis Titik Detail

Rumus :D0 det = (Ba-Bb) x 100

α0 -> a = ( 0.6100 - 0.5700 ) x 100 = 4.00b = ( 0.4950 - 0.3960 ) x 100 = 9.90c = ( 1.0600 - 1.0150 ) x 100 = 4.50d = ( 0.9650 - 0.8600 ) x 100 = 10.50e = ( 0.7050 - 0.6100 ) x 100 = 9.50f = ( 0.6050 - 0.5000 ) x 100 = 10.50g = ( 0.6100 - 0.5100 ) x 100 = 10.00





α5 -> a = ( 1.4850 - 1.4350 ) x 100 = 5.00b = ( 1.5800 - 1.5000 ) x 100 = 8.00c = ( 1.7880 - 1.7300 ) x 100 = 5.80d = ( 1.4800 - 1.3850 ) x 100 = 9.50e = ( 1.5050 - 1.4200 ) x 100 = 8.50

f = ( 1.6000 - 1.5150 ) x 100 = 8.50g = ( 1.6350 - 1.5500 ) x 100 = 8.50






α11 -> a = ( 1.4100 - 1.3600 ) x 100 = 5.00b = ( 1.6000 - 1.5000 ) x 100 = 10.00c = ( 1.1300 - 1.0800 ) x 100 = 5.00d = ( 1.0100 - 0.9100 ) x 100 = 10.00e = ( 0.9450 - 0.8500 ) x 100 = 9.50

f = ( 0.9050 - 0.8000 ) x 100 = 10.50g = ( 0.9800 - 0.8500 ) x 100 = 13.00

Perhitungan Jarak proyeksi Rumus :

Dpn det = D0n det xCos² (90° - γ) Dpn det GANTI INI SESUAI DATA U!

α0 -> a = 4.00 x Cos² ( 90 - 97.7542 ) = -7.7542 0.99085608813 3.9272 alfa a =b = 9.90 x Cos² ( 90 - 97.7542 ) = -7.7542 0.99085608813 9.7198 alfa b =c = 4.50 x Cos² ( 90 - 91.0694 ) = -1.0694 0.999825807847 4.4984 alfa c =d = 10.50 x Cos² ( 91 - 91.0694 ) = -0.0694 0.999999265487 10.5000 alfa d =e = 9.50 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 9.4700 alfa e =f = 10.50 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 10.4669 alfa f =g = 10.00 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 9.9685 alfa g =

α1 -> a = 5.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 4.9933 alfa a =b = 10.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 9.9865 alfa b =c = 6.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 5.9919 alfa c =d = 9.50 x Cos² ( 91 - 92.1028 ) = -1.1028 0.999814780228 9.4965 alfa d =e = 9.50 x Cos² ( 90 - 89.1153 ) = 0.8847 0.999880785253 9.4977 alfa e =f = 9.50 x Cos² ( 90 - 89.1153 ) = 0.8847 0.999880785253 9.4977 alfa f =g = 14.00 x Cos² ( 90 - 90.9486 ) = -0.9486 0.999862946152 13.9962 alfa g =

α2 -> a = 6.50 x Cos² ( 90 - 94.1042 ) = -4.1042 0.997435580853 6.4667 alfa a =b = 3.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 2.9882 alfa b =c = 3.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 2.9882 alfa c =d = 5.40 x Cos² ( 91 - 93.5986 ) = -2.5986 0.998971669127 5.3889 alfa d =e = 6.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 5.9764 alfa e =f = 5.50 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 5.4783 alfa f =g = 8.00 x Cos² ( 90 - 88.9181 ) = 1.0819 0.999821712146 7.9971 alfa g =

α3 -> a = 3.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 2.9983 alfa a =b = 5.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.9972 alfa b =c = 4.50 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.4975 alfa c =d = 7.00 x Cos² ( 91 - 88.6431 ) = 2.3569 0.999154015926 6.9882 alfa d =e = 5.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.9972 alfa e =f = 6.50 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 6.4964 alfa f =g = 6.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 5.9966 alfa g =

α4 -> a = 3.00 x Cos² ( 90 - 90.8681 ) = -0.8681 0.999885234468 2.9993 alfa a =b = 5.50 x Cos² ( 90 - 90.8681 ) = -0.8681 0.999885234468 5.4987 alfa b =c = 3.50 x Cos² ( 90 - 85.0319 ) = 4.9681 0.996243135699 3.4738 alfa c =d = 6.00 x Cos² ( 91 - 85.0319 ) = 5.9681 0.994580019147 5.9351 alfa d =e = 7.00 x Cos² ( 90 - 84.5278 ) = 5.4722 0.995442548716 6.9363 alfa e =f = 7.50 x Cos² ( 90 - 82.4181 ) = 7.5819 0.991257168844 7.3694 alfa f =g = 7.00 x Cos² ( 90 - 89.0597 ) = 0.9403 0.999865343495 6.9981 alfa g =

α5 -> a = 5.00 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 4.9988 alfa a =

Cos² (90° - γ) (90° - γ)

b = 8.00 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 7.9980 alfa b =c = 5.80 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 5.7986 alfa c =d = 9.50 x Cos² ( 91 - 89.0986 ) = 1.9014 0.999449411944 9.4895 alfa d =e = 8.50 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 8.4979 alfa e =f = 8.50 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 8.4979 alfa f =g = 8.50 x Cos² ( 90 - 89.0986 ) = 0.9014 0.999876251432 8.4979 alfa g =






α11 -> a = 5.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 4.9986 alfa a =b = 10.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 9.9972 alfa b =c = 5.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 4.9986 alfa c =d = 10.00 x Cos² ( 91 - 90.9653 ) = 0.0347 0.999999816372 10.0000 alfa d =

e = 9.50 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 9.4973 alfa e =f = 10.50 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 10.4970 alfa f =g = 13.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 12.9963 alfa g =

Perhitungan jarak horizontal detailRumus :

DXn det= DPn det x

D0 -> a = 3.9272 x sin #REF! = #REF!b = 9.7198 x sin #REF! = #REF!c = 4.4984 x sin #REF! = #REF!d = 10.5 x sin #REF! = #REF!e = 9.47 x sin #REF! = #REF!f = 10.467 x sin #REF! = #REF!g = 9.9685 x sin #REF! = #REF!

D1 -> a = 4.9933 x sin 188.4111 = -0.7304b = 9.9865 x sin 188.4125 = -1.4610c = 5.9919 x sin 8.4125 = 0.8766d = 9.4965 x sin 8.4125 = 1.3893e = 9.4977 x sin 64.3750 = 8.5636f = 9.4977 x sin 89.4833 = 9.4973g = 13.996 x sin 72.6625 = 13.3603

D2 -> a = 6.4667 x sin 66.5264 = 5.9315b = 2.9882 x sin 66.5264 = 2.7409c = 2.9882 x sin 246.5264 = -2.7409d = 5.3889 x sin 246.5264 = -4.9429e = 5.9764 x sin 233.8458 = -4.8255f = 5.4783 x sin 275.2986 = -5.4549g = 7.9971 x sin 283.8111 = -7.7659



sin αn det






D10 -> a = 5.9978 x sin #REF! = #REF!b = 10.496 x sin #REF! = #REF!c = 3.9985 x sin #REF! = #REF!d = 9 x sin #REF! = #REF!e = 7.997 x sin #REF! = #REF!f = 7.997 x sin #REF! = #REF!g = 1.9993 x sin #REF! = #REF!


Perhitungan jarak vertikal detailRumus :

DYn det= DPn det x

D0 -> a = 3.9272 x cos #REF! = #REF!b = 9.7198 x cos #REF! = #REF!c = 4.4984 x cos #REF! = #REF!d = 10.5 x cos #REF! = #REF!e = 9.47 x cos #REF! = #REF!f = 10.467 x cos #REF! = #REF!g = 9.9685 x cos #REF! = #REF!

D1 -> a = 4.9933 x cos 188.4111 = -4.9396b = 9.9865 x cos 188.4125 = -9.8791c = 5.9919 x cos 8.4125 = 5.9275d = 9.4965 x cos 8.4125 = 9.3943e = 9.4977 x cos 64.3750 = 4.1076f = 9.4977 x cos 89.4833 = 0.0856g = 13.996 x cos 72.6625 = 4.1709

D2 -> a = 6.4667 x cos 66.5264 = 2.5759b = 2.9882 x cos 66.5264 = 1.1903c = 2.9882 x cos 246.5264 = -1.1903d = 5.3889 x cos 246.5264 = -2.1465e = 5.9764 x cos 233.8458 = -3.5258f = 5.4783 x cos 275.2986 = 0.5059g = 7.9971 x cos 283.8111 = 1.9091

D3 -> a = 2.9983 x cos 87.3250 = 0.1399b = 4.9972 x cos 87.4361 = 0.2235c = 4.4975 x cos 267.4361 = -0.2012d = 6.9882 x cos 267.4361 = -0.3126e = 4.9972 x cos 308.4403 = 3.1067f = 6.4964 x cos 324.3778 = 5.2807g = 5.9966 x cos 259.3139 = -1.1119

D4 -> a = 2.9993 x cos 115.9597 = -1.3129b = 5.4987 x cos 115.9597 = -2.4070

cos αn det

c = 3.4738 x cos 295.9542 = 1.5203d = 5.9351 x cos 295.9542 = 2.5975e = 6.9363 x cos 350.1208 = 6.8335f = 7.3694 x cos 335.1861 = 6.6891g = 6.9981 x cos 307.3792 = 4.2485

D5 -> a = 4.9988 x cos 45.1889 = 3.5230b = 7.998 x cos 45.1889 = 5.6368c = 5.7986 x cos 225.1889 = -4.0867d = 9.4895 x cos 225.1889 = -6.6880e = 8.4979 x cos 195.8139 = -8.1763f = 8.4979 x cos 235.8264 = -4.7733g = 8.4979 x cos 291.9972 = 3.1830

D6 -> a = 4.4927 x cos 127.0000 = -2.7038b = 9.9839 x cos 127.0000 = -6.0084c = 3.7428 x cos 307.0000 = 2.2525d = 9.9708 x cos 307.0000 = 6.0006e = 7.9591 x cos 223.0000 = -5.8209f = 9.9489 x cos 247.4958 = -3.8079g = 14.923 x cos 265.0347 = -1.2916

D7 -> a = 4.1987 x cos 15.0000 = 4.0556b = 7.4907 x cos 15.0000 = 7.2354c = 4.9938 x cos 195.0000 = -4.8236d = 7.9778 x cos 195.0000 = -7.7059e = 9.9875 x cos 203.2125 = -9.1790f = 4.9938 x cos 219.8375 = -3.8345g = 4.9938 x cos 254.8069 = -1.3087

D8 -> a = 3.5 x cos #REF! = #REF!b = 6 x cos #REF! = #REF!c = 4 x cos #REF! = #REF!d = 15.995 x cos #REF! = #REF!e = 5 x cos #REF! = #REF!f = 6 x cos #REF! = #REF!g = 10 x cos #REF! = #REF!

D9 -> a = 3.9978 x cos #REF! = #REF!b = 6.9962 x cos #REF! = #REF!c = 2.9984 x cos #REF! = #REF!d = 5.9901 x cos #REF! = #REF!e = 0.9995 x cos #REF! = #REF!f = 3.9978 x cos #REF! = #REF!g = 5.9968 x cos #REF! = #REF!

D10 -> a = 5.9978 x cos #REF! = #REF!b = 10.496 x cos #REF! = #REF!

c = 3.9985 x cos #REF! = #REF!d = 9 x cos #REF! = #REF!e = 7.997 x cos #REF! = #REF!f = 7.997 x cos #REF! = #REF!g = 1.9993 x cos #REF! = #REF!

D11 -> a = 4.9986 x cos #REF! = #REF!b = 9.9972 x cos #REF! = #REF!c = 4.9986 x cos #REF! = #REF!d = 10 x cos #REF! = #REF!e = 9.4973 x cos #REF! = #REF!f = 10.497 x cos #REF! = #REF!g = 12.996 x cos #REF! = #REF!

Perhitungan koordinat horizontal detailRumus :

Xn det =

X0 -> a = 0.0000 + #REF! = #REF!b = 0.0000 + #REF! = #REF!c = 0.0000 + #REF! = #REF!d = 0.0000 + #REF! = #REF!e = 0.0000 + #REF! = #REF!f = 0.0000 + #REF! = #REF!g = 0.0000 + #REF! = #REF!

X1 -> a = 150.0000 + -0.7304 = 149.2696b = 150.0000 + -1.4610 = 148.5390c = 150.0000 + 0.8766 = 150.8766d = 150.0000 + 1.3893 = 151.3893e = 150.0000 + 8.5636 = 158.5636f = 150.0000 + 9.4973 = 159.4973g = 150.0000 + 13.3603 = 163.3603

X2 -> a = 100.2479 + 5.9315 = 106.1794b = 100.2479 + 2.7409 = 102.9888c = 100.2479 + -2.7409 = 97.5070d = 100.2479 + -4.9429 = 95.3050e = 100.2479 + -4.8255 = 95.4224f = 100.2479 + -5.4549 = 94.7930g = 100.2479 + -7.7659 = 92.4820

X3 -> a = 78.3672 + 2.9951 = 81.3623b = 78.3672 + 4.9922 = 83.3594c = 78.3672 + -4.4930 = 73.8742d = 78.3672 + -6.9812 = 71.3860e = 78.3672 + -3.9141 = 74.4531f = 78.3672 + -3.7837 = 74.5835

Xn ± DXn det

g = 78.3672 + -5.8926 = 72.4746

X4 -> a = 129.3836 + 2.6967 = 132.0803b = 129.3836 + 4.9439 = 134.3276c = 129.3836 + -3.1234 = 126.2602d = 129.3836 + -5.3365 = 124.0471e = 129.3836 + -1.1901 = 128.1936f = 129.3836 + -3.0927 = 126.2909g = 129.3836 + -5.5609 = 123.8227

X5 -> a = 183.8024 + 3.5463 = 187.3487b = 183.8024 + 5.6741 = 189.4765c = 183.8024 + -4.1137 = 179.6887d = 183.8024 + -6.7322 = 177.0702e = 183.8024 + -2.3158 = 181.4866f = 183.8024 + -7.0306 = 176.7718g = 183.8024 + -7.8793 = 175.9232

X6 -> a = 218.2543 + 3.5881 = 221.8424b = 218.2543 + 7.9735 = 226.2278c = 218.2543 + -2.9891 = 215.2652d = 218.2543 + -7.9630 = 210.2913e = 218.2543 + -5.4281 = 212.8262f = 218.2543 + -9.1913 = 209.0630g = 218.2543 + -14.8674 = 203.3869

X7 -> a = 198.8343 + 1.0867 = 199.9210b = 198.8343 + 1.9387 = 200.7731c = 198.8343 + -1.2925 = 197.5418d = 198.8343 + -2.0648 = 196.7695e = 198.8343 + -3.9365 = 194.8978f = 198.8343 + -3.1991 = 195.6353g = 198.8343 + -4.8192 = 194.0151

X8 -> a = 150.0000 + #REF! = #REF!b = 150.0000 + #REF! = #REF!c = 150.0000 + #REF! = #REF!d = 150.0000 + #REF! = #REF!e = 150.0000 + #REF! = #REF!f = 150.0000 + #REF! = #REF!g = 150.0000 + #REF! = #REF!

X9 -> a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!

g = #REF! + #REF! = #REF!

X10 -> a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!

X11 -> a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!

Perhitungan koordinat vertikal detailRumus :

Yn det =

Y0 -> a = 0.0000 + #REF! = #REF!b = 0.0000 + #REF! = #REF!c = 0.0000 + #REF! = #REF!d = 0.0000 + #REF! = #REF!e = 0.0000 + #REF! = #REF!f = 0.0000 + #REF! = #REF!g = 0.0000 + #REF! = #REF!

Y1 -> a = 200.0000 + -4.9396 = 195.0604b = 200.0000 + -9.8791 = 190.1209c = 200.0000 + 5.9275 = 205.9275d = 200.0000 + 9.3943 = 209.3943e = 200.0000 + 4.1076 = 204.1076f = 200.0000 + 0.0856 = 200.0856g = 200.0000 + 4.1709 = 204.1709

Y2 -> a = 209.4970 + 2.5759 = 212.0729b = 209.4970 + 1.1903 = 210.6873c = 209.4970 + -1.1903 = 208.3067d = 209.4970 + -2.1465 = 207.3505e = 209.4970 + -3.5258 = 205.9712f = 209.4970 + 0.5059 = 210.0029g = 209.4970 + 1.9091 = 211.4061

Y3 -> a = 254.1729 + 0.1399 = 254.3128

Yn ± DYn det

b = 254.1729 + 0.2235 = 254.3964c = 254.1729 + -0.2012 = 253.9717d = 254.1729 + -0.3126 = 253.8603e = 254.1729 + 3.1067 = 257.2796f = 254.1729 + 5.2807 = 259.4536g = 254.1729 + -1.1119 = 253.0609

Y4 -> a = 263.5019 + -1.3129 = 262.1890b = 263.5019 + -2.4070 = 261.0949c = 263.5019 + 1.5203 = 265.0222d = 263.5019 + 2.5975 = 266.0995e = 263.5019 + 6.8335 = 270.3354f = 263.5019 + 6.6891 = 270.1910g = 263.5019 + 4.2485 = 267.7504

Y5 -> a = 259.8350 + 3.5230 = 263.3580b = 259.8350 + 5.6368 = 265.4718c = 259.8350 + -4.0867 = 255.7484d = 259.8350 + -6.6880 = 253.1471e = 259.8350 + -8.1763 = 251.6588f = 259.8350 + -4.7733 = 255.0617g = 259.8350 + 3.1830 = 263.0180

Y6 -> a = 223.8253 + -2.7038 = 221.1215b = 223.8253 + -6.0084 = 217.8169c = 223.8253 + 2.2525 = 226.0778d = 223.8253 + 6.0006 = 229.8259e = 223.8253 + -5.8209 = 218.0044f = 223.8253 + -3.8079 = 220.0174g = 223.8253 + -1.2916 = 222.5337

Y7 -> a = 190.9493 + 4.0556 = 195.0049b = 190.9493 + 7.2354 = 198.1847c = 190.9493 + -4.8236 = 186.1257d = 190.9493 + -7.7059 = 183.2433e = 190.9493 + -9.1790 = 181.7702f = 190.9493 + -3.8345 = 187.1147g = 190.9493 + -1.3087 = 189.6405

Y8 -> a = 200.0000 + #REF! = #REF!b = 200.0000 + #REF! = #REF!c = 200.0000 + #REF! = #REF!d = 200.0000 + #REF! = #REF!e = 200.0000 + #REF! = #REF!f = 200.0000 + #REF! = #REF!g = 200.0000 + #REF! = #REF!

Y9 -> a = #REF! + #REF! = #REF!

b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!

Y10 -> a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!

Y11 -> a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!

Perhitungan Beda Tinggi Patok DetailRumus :

∆Hn = D0det 1/2

(90°-γ) 2 x (90°-γ) sin 2 x (90°-γ)

∆H P0 a = 4.00 x 0.5 x sin 2 ( 90 ° - 97.7542 ) + ( 1.385 - 0.6000 ) = -7.7542 -15.5083333333333 -0.26737852762b = 9.90 x 0.5 x sin 2 ( 90 ° - 97.7542 ) + ( 1.385 - 4.9100 ) = -7.7542 -15.5083333333333 -0.26737852762c = 4.50 x 0.5 x sin 2 ( 90 ° - 91.0694 ) + ( 1.385 - 1.0375 ) = -1.0694 -2.13888888888889 -0.03732198352d = 10.50 x 0.5 x sin 2 ( 90 ° - 91.0694 ) + ( 1.385 - 0.9200 ) = -1.0694 -2.13888888888889 -0.03732198352e = 9.50 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.385 - 0.6650 ) = -3.2194 -6.4388888888889 -0.11214341567f = 10.50 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.385 - 0.5500 ) = -3.2194 -6.4388888888889 -0.11214341567g = 10.00 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.385 - 0.5600 ) = -3.2194 -6.4388888888889 -0.11214341567

∆H P1 a = 5.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.320 - 0.9400 ) = -2.1028 -4.20555555555555 -0.07333489912b = 10.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.320 - 0.7300 ) = -2.1028 -4.20555555555555 -0.07333489912c = 6.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.320 - 1.1100 ) = -2.1028 -4.20555555555555 -0.07333489912d = 9.50 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.320 - 0.9150 ) = -2.1028 -4.20555555555555 -0.07333489912e = 9.50 x 0.5 x sin 2 ( 90 ° - 89.1153 ) + ( 1.320 - 1.2850 ) = 0.8847 1.76944444444445 0.030877722736f = 9.50 x 0.5 x sin 2 ( 90 ° - 89.1153 ) + ( 1.320 - 1.2650 ) = 0.8847 1.76944444444445 0.030877722736g = 14.00 x 0.5 x sin 2 ( 90 ° - 90.9486 ) + ( 1.320 - 0.8000 ) = -0.9486 -1.89722222222224 -0.03310672364

∆H P2 a = 6.50 x 0.5 x sin 2 ( 90 ° - 94.1042 ) + ( 1.380 - 0.9050 ) = -4.1042 -8.20833333333331 -0.14277288931b = 3.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.380 - 1.0250 ) = -3.5986 -7.19722222222222 -0.12528513434c = 3.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.380 - 1.2950 ) = -3.5986 -7.19722222222222 -0.12528513434d = 5.40 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.380 - 1.2150 ) = -3.5986 -7.19722222222222 -0.12528513434

sin 2 (90°-γ) + (Tpswt - Bt)

e = 6.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.380 - 1.0000 ) = -3.5986 -7.19722222222222 -0.12528513434f = 5.50 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.380 - 1.0100 ) = -3.5986 -7.19722222222222 -0.12528513434g = 8.00 x 0.5 x sin 2 ( 90 ° - 88.9181 ) + ( 1.380 - 1.6780 ) = 1.0819 2.16388888888889 0.037758008272

∆H P3 a = 3.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.150 ) = 1.3569 2.71388888888887 0.047348587062b = 5.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.165 ) = 1.3569 2.71388888888887 0.047348587062c = 4.50 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.255 ) = 1.3569 2.71388888888887 0.047348587062d = 7.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.23 ) = 1.3569 2.71388888888887 0.047348587062e = 5.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.26 ) = 1.3569 2.71388888888887 0.047348587062f = 6.50 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.35 ) = 1.3569 2.71388888888887 0.047348587062g = 6.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.460 - 1.275 ) = 1.3569 2.71388888888887 0.047348587062

∆H P4 a = 3.00 x 0.5 x sin 2 ( 90 ° - 90.8681 ) + ( 1.410 - 1.110 ) = -0.8681 -1.73611111111109 -0.03029621854b = 5.50 x 0.5 x sin 2 ( 90 ° - 90.8681 ) + ( 1.410 - 1.105 ) = -0.8681 -1.73611111111109 -0.03029621854c = 3.50 x 0.5 x sin 2 ( 90 ° - 85.0319 ) + ( 1.410 - 1.52 ) = 4.9681 9.9361111111111 0.172549938913d = 6.00 x 0.5 x sin 2 ( 90 ° - 85.0319 ) + ( 1.410 - 1.72 ) = 4.9681 9.9361111111111 0.172549938913e = 7.00 x 0.5 x sin 2 ( 90 ° - 84.5278 ) + ( 1.410 - 1.9 ) = 5.4722 10.9444444444445 0.189857093252f = 7.50 x 0.5 x sin 2 ( 90 ° - 82.4181 ) + ( 1.410 - 2.32 ) = 7.5819 15.1638888888889 0.261580917448g = 7.00 x 0.5 x sin 2 ( 90 ° - 89.0597 ) + ( 1.410 - 1.23 ) = 0.9403 1.88055555555556 0.032815993489

∆H P5 a = 5.00 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.455 ) = 0.9014 1.80277777777778 0.031459216487b = 8.00 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.54 ) = 0.9014 1.80277777777778 0.031459216487c = 5.80 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.76 ) = 0.9014 1.80277777777778 0.031459216487d = 9.50 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.435 ) = 0.9014 1.80277777777778 0.031459216487e = 8.50 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.46 ) = 0.9014 1.80277777777778 0.031459216487f = 8.50 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.555 ) = 0.9014 1.80277777777778 0.031459216487g = 8.50 x 0.5 x sin 2 ( 90 ° - 89.0986 ) + ( 1.430 - 1.595 ) = 0.9014 1.80277777777778 0.031459216487

∆H P6 a = 4.50 x 0.5 x sin 2 ( 90 ° - 92.3014 ) + ( 1.420 - 0.910 ) = -2.3014 -4.60277777777776 -0.08024724944b = 10.00 x 0.5 x sin 2 ( 90 ° - 92.3014 ) + ( 1.420 - 0.46 ) = -2.3014 -4.60277777777776 -0.08024724944c = 3.80 x 0.5 x sin 2 ( 90 ° - 97.0472 ) + ( 1.420 - 0.985 ) = -7.0472 -14.0944444444444 -0.2435209692d = 10.00 x 0.5 x sin 2 ( 90 ° - 94.0986 ) + ( 1.420 - 1.9 ) = -4.0986 -8.19722222222222 -0.14258094783e = 8.00 x 0.5 x sin 2 ( 90 ° - 94.1000 ) + ( 1.420 - 0.89 ) = -4.1000 -8.19999999999999 -0.14262893371f = 10.00 x 0.5 x sin 2 ( 90 ° - 94.1000 ) + ( 1.420 - 0.785 ) = -4.1000 -8.19999999999999 -0.14262893371g = 15.00 x 0.5 x sin 2 ( 90 ° - 94.0986 ) + ( 1.420 - 0.535 ) = -4.0986 -8.19722222222222 -0.14258094783

∆H P7 a = 4.20 x 0.5 x sin 2 ( 90 ° - 88.9778 ) + ( #REF! - 1.380 ) = 1.0222 2.04444444444445 0.035674715478b = 7.50 x 0.5 x sin 2 ( 90 ° - 87.9778 ) + ( #REF! - 1.402 ) = 2.0222 4.04444444444445 0.070530264999c = 5.00 x 0.5 x sin 2 ( 90 ° - 87.9778 ) + ( #REF! - 1.525 ) = 2.0222 4.04444444444445 0.070530264999d = 8.00 x 0.5 x sin 2 ( 90 ° - 87.9778 ) + ( #REF! - 1.66 ) = 2.0222 4.04444444444445 0.070530264999e = 10.00 x 0.5 x sin 2 ( 90 ° - 87.9764 ) + ( #REF! - 1.709 ) = 2.0236 4.04722222222222 0.070578625548f = 5.00 x 0.5 x sin 2 ( 90 ° - 87.9764 ) + ( #REF! - 1.67 ) = 2.0236 4.04722222222222 0.070578625548g = 5.00 x 0.5 x sin 2 ( 90 ° - 87.9806 ) + ( #REF! - 1.546 ) = 2.0194 4.03888888888889 0.070433543403

∆H P8 a = 3.50 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.118 ) = 0.0097 0.0194444444444457 0.00033936957b = 6.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.35 ) = 0.0097 0.0194444444444457 0.00033936957c = 4.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 0.805 ) = 0.0097 0.0194444444444457 0.00033936957d = 16.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.225 ) = 0.0097 0.0194444444444457 0.00033936957

e = 5.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.365 ) = 0.0097 0.0194444444444457 0.00033936957f = 6.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.24 ) = 0.0097 0.0194444444444457 0.00033936957g = 10.00 x 0.5 x sin 2 ( 90 ° - 89.9903 ) + ( #REF! - 1.18 ) = 0.0097 0.0194444444444457 0.00033936957

∆H P9 a = 4.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.410 ) = 1.3306 2.6611111111111 0.046428454243b = 7.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.43 ) = 1.3306 2.6611111111111 0.046428454243c = 3.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.39 ) = 1.3306 2.6611111111111 0.046428454243d = 6.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.37 ) = 1.3306 2.6611111111111 0.046428454243e = 1.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.155 ) = 1.3306 2.6611111111111 0.046428454243f = 4.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.025 ) = 1.3306 2.6611111111111 0.046428454243g = 6.00 x 0.5 x sin 2 ( 90 ° - 88.6694 ) + ( #REF! - 1.22 ) = 1.3306 2.6611111111111 0.046428454243

∆H P10 a = 6.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 2.030 ) = -1.1014 -2.20277777777775 -0.03843625468b = 10.50 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 1.93 ) = -1.1014 -2.20277777777775 -0.03843625468c = 4.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 1.095 ) = -1.1014 -2.20277777777775 -0.03843625468d = 9.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 0.97 ) = -1.1014 -2.20277777777775 -0.03843625468e = 8.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 0.94 ) = -1.1014 -2.20277777777775 -0.03843625468f = 8.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 1.3 ) = -1.1014 -2.20277777777775 -0.03843625468g = 2.00 x 0.5 x sin 2 ( 90 ° - 91.1014 ) + ( #REF! - 1.28 ) = -1.1014 -2.20277777777775 -0.03843625468

∆H P11 a = 5.00 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 1.385 ) = -0.9653 -1.93055555555557 -0.0336881755b = 10.00 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 1.55 ) = -0.9653 -1.93055555555557 -0.0336881755c = 5.00 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 1.1 ) = -0.9653 -1.93055555555557 -0.0336881755d = 10.00 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 0.96 ) = -0.9653 -1.93055555555557 -0.0336881755e = 9.50 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 0.9 ) = -0.9653 -1.93055555555557 -0.0336881755f = 10.50 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 0.85 ) = -0.9653 -1.93055555555557 -0.0336881755g = 13.00 x 0.5 x sin 2 ( 90 ° - 90.9653 ) + ( #REF! - 0.91 ) = -0.9653 -1.93055555555557 -0.0336881755

Perhitungan Tinggi Titik DetailRumus :

Pn det = Pn ± ∆H det

P0 a = #REF! + 0.2502 = #REF!b = #REF! + -4.8485 = #REF!c = #REF! + 0.2635 = #REF!d = #REF! + 0.2691 = #REF!e = #REF! + 0.1873 = #REF!f = #REF! + 0.2462 = #REF!g = #REF! + 0.2643 = #REF!

P1 a = 1.4000 + 0.1967 = 1.5967b = 1.4000 + 0.2233 = 1.6233c = 1.4000 + -0.0100 = 1.3900d = 1.4000 + 0.0567 = 1.4567e = 1.4000 + 0.1817 = 1.5817f = 1.4000 + 0.2017 = 1.6017g = 1.4000 + 0.2883 = 1.6883

P2 a = 1.7989 + 0.0110 = 1.8098b = 1.7989 + 0.1671 = 1.9659c = 1.7989 + -0.1029 = 1.6959d = 1.7989 + -0.1733 = 1.6256e = 1.7989 + 0.0041 = 1.8030f = 1.7989 + 0.0255 = 1.8243g = 1.7989 + -0.1470 = 1.6519

P3 a = 2.0132 + 0.3810 = 2.3943b = 2.0132 + 0.4134 = 2.4266c = 2.0132 + 0.3115 = 2.3248d = 2.0132 + 0.3957 = 2.4090e = 2.0132 + 0.3184 = 2.3316f = 2.0132 + 0.2639 = 2.2771g = 2.0132 + 0.3270 = 2.3403

P4 a = 2.5648 + 0.2546 = 2.8194b = 2.5648 + 0.2217 = 2.7865c = 2.5648 + 0.1920 = 2.7568d = 2.5648 + 0.2076 = 2.7725e = 2.5648 + 0.1745 = 2.7393f = 2.5648 + 0.0709 = 2.6358g = 2.5648 + 0.2949 = 2.8597

P5 a = 1.4985 + 0.0536 = 1.5521b = 1.4985 + 0.0158 = 1.5143c = 1.4985 + -0.2388 = 1.2597d = 1.4985 + 0.1444 = 1.6429e = 1.4985 + 0.1037 = 1.6022f = 1.4985 + 0.0087 = 1.5072g = 1.4985 + -0.0313 = 1.4672

P6 a = 1.1084 + 0.3294 = 1.4378b = 1.1084 + 0.5588 = 1.6672c = 1.1084 + -0.0277 = 1.0807d = 1.1084 + -1.1929 = -0.0845e = 1.1084 + -0.0405 = 1.0679f = 1.1084 + -0.0781 = 1.0302g = 1.1084 + -0.1844 = 0.9240

P7 a = 1.0020 + #REF! = #REF!b = 1.0020 + #REF! = #REF!c = 1.0020 + #REF! = #REF!d = 1.0020 + #REF! = #REF!e = 1.0020 + #REF! = #REF!f = 1.0020 + #REF! = #REF!g = 1.0020 + #REF! = #REF!

P8 a = #REF! + #REF! = #REF!b = #REF! + #REF! = #REF!c = #REF! + #REF! = #REF!d = #REF! + #REF! = #REF!e = #REF! + #REF! = #REF!f = #REF! + #REF! = #REF!g = #REF! + #REF! = #REF!




Perhitungan kemiringan lereng patok detailRumus :

\ Pn det = ∆ Hn det / D0n det x 100%

\P0 a = 0.2502 / 4.00 x 100% = 6.2561 %b = -4.8485 / 9.90 x 100% = -48.9750 %c = 0.2635 / 4.50 x 100% = 5.8561 %d = 0.2691 / 10.50 x 100% = 2.5625 %e = 0.1873 / 9.50 x 100% = 1.9718 %f = 0.2462 / 10.50 x 100% = 2.3452 %g = 0.2643 / 10.00 x 100% = 2.6428 %

\P1 a = 0.1967 / 5.00 x 100% = 3.9333 %b = 0.2233 / 10.00 x 100% = 2.2333 %c = -0.0100 / 6.00 x 100% = -0.1667 %d = 0.0567 / 9.50 x 100% = 0.5964 %

e = 0.1817 / 9.50 x 100% = 1.9123 %f = 0.2017 / 9.50 x 100% = 2.1228 %g = 0.2883 / 14.00 x 100% = 2.0589 %

\P2 a = 0.0110 / 6.50 x 100% = 0.1690 %b = 0.1671 / 3.00 x 100% = 5.5691 %c = -0.1029 / 3.00 x 100% = -3.4309 %d = -0.1733 / 5.40 x 100% = -3.2087 %e = 0.0041 / 6.00 x 100% = 0.0691 %f = 0.0255 / 5.50 x 100% = 0.4630 %g = -0.1470 / 8.00 x 100% = -1.8371 %

\P3 a = 0.3810 / 3.00 x 100% = 12.7008 %b = 0.4134 / 5.00 x 100% = 8.2674 %c = 0.3115 / 4.50 x 100% = 6.9230 %d = 0.3957 / 7.00 x 100% = 5.6531 %e = 0.3184 / 5.00 x 100% = 6.3674 %f = 0.2639 / 6.50 x 100% = 4.0597 %g = 0.3270 / 6.00 x 100% = 5.4508 %


\P5 a = 0.0536 / 5.00 x 100% = 1.0730 %b = 0.0158 / 8.00 x 100% = 0.1980 %c = -0.2388 / 5.80 x 100% = -4.1167 %d = 0.1444 / 9.50 x 100% = 1.5203 %e = 0.1037 / 8.50 x 100% = 1.2200 %f = 0.0087 / 8.50 x 100% = 0.1024 %g = -0.0313 / 8.50 x 100% = -0.3682 %

\P6 a = 0.3294 / 4.50 x 100% = 7.3210 %b = 0.5588 / 10.00 x 100% = 5.5876 %c = -0.0277 / 3.80 x 100% = -0.7287 %d = -1.1929 / 10.00 x 100% = -11.9290 %e = -0.0405 / 8.00 x 100% = -0.5064 %f = -0.0781 / 10.00 x 100% = -0.7814 %g = -0.1844 / 15.00 x 100% = -1.2290 %

\P7 a = #REF! / 4.20 x 100% = #REF! %b = #REF! / 7.50 x 100% = #REF! %c = #REF! / 5.00 x 100% = #REF! %d = #REF! / 8.00 x 100% = #REF! %

e = #REF! / 10.00 x 100% = #REF! %f = #REF! / 5.00 x 100% = #REF! %g = #REF! / 5.00 x 100% = #REF! %

\P8 a = #REF! / 3.50 x 100% = #REF! %b = #REF! / 6.00 x 100% = #REF! %c = #REF! / 4.00 x 100% = #REF! %d = #REF! / 16.00 x 100% = #REF! %e = #REF! / 5.00 x 100% = #REF! %f = #REF! / 6.00 x 100% = #REF! %g = #REF! / 10.00 x 100% = #REF! %




BC21


278.5633 278.5633

331.4044

441.2079

455.9073

498.9317

571.1700

638.2639

Congratulation 0.0000

= 50.99999= 51.99999= 48.99999= 49.99994= 52.99998= 49.99994= 39.99999

ΣDpn = 344.9998

50.9999951.9999948.9999949.9999452.9999849.9999439.99999

344.9998 mForgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!

AU91

Khansa' Fatimah Az Zahrah: sama ji kodong...

A93

Khansa' Fatimah Az Zahrah: tapi bisa jg pake formula dibwah ni, cari2 sj yg mau diubah,

(90°-γ) 0.0010665898962128 0.4122 m0.0010665898962128 0.2277 m

0.00101810855444412 0.5649 m0.00227862232939697 -1.0530 m0.0010665898962128 -0.3767 m

0.00227862232939697 -0.0930 m0.0010665898962128 0.4113 m

Σ∆Hn = 0.0934 m

150100.247978.3672

129.3836183.8024218.2543198.8343150.0000

GANTI INI SESUAI DENGAN DATA U!28 ° 45 5 " = 28.751428 ° 45 5 " = 28.7514

208 ° 45 5 " = 208.7514208 ° 45 5 " = 208.7514147 ° 21 55 " = 147.3653184 ° 37 40 " = 184.6278233 ° 41 0 " = 233.6833

90 ° 8 50 " = 90.147290 ° 8 55 " = 90.1486

AU269

Khansa' Fatimah Az Zahrah: ganti, sesuai beta ditiap detail

AU277


270 ° 8 55 " = 270.1486270 ° 8 55 " = 270.1486326 ° 6 40 " = 326.1111351 ° 13 10 " = 351.2194334 ° 23 55 " = 334.3986

66 ° 31 35 " = 66.526466 ° 31 35 " = 66.5264

246 ° 31 35 " = 246.5264246 ° 31 35 " = 246.5264233 ° 50 45 " = 233.8458275 ° 17 55 " = 275.2986283 ° 48 40 " = 283.8111

87 ° 19 30 " = 87.325087 ° 26 10 " = 87.4361

267 ° 26 10 " = 267.4361267 ° 26 10 " = 267.4361308 ° 26 25 " = 308.4403324 ° 22 40 " = 324.3778259 ° 18 50 " = 259.3139

115 ° 57 35 " = 115.9597115 ° 57 35 " = 115.9597295 ° 57 15 " = 295.9542295 ° 57 15 " = 295.9542350 ° 7 15 " = 350.1208335 ° 11 10 " = 335.1861307 ° 22 45 " = 307.3792

45 ° 11 20 " = 45.188945 ° 11 20 " = 45.1889

225 ° 11 20 " = 225.1889225 ° 11 20 " = 225.1889195 ° 48 50 " = 195.8139235 ° 49 35 " = 235.8264291 ° 59 50 " = 291.9972

127 ° 0 0 " = 127.0000127 ° 0 0 " = 127.0000307 ° 0 0 " = 307.0000307 ° 0 0 " = 307.0000223 ° 0 0 " = 223.0000247 ° 29 45 " = 247.4958265 ° 2 5 " = 265.0347

15 ° 0 0 " = 15.000015 ° 0 0 " = 15.0000

195 ° 0 0 " = 195.0000195 ° 0 0 " = 195.0000203 ° 12 45 " = 203.2125219 ° 50 15 " = 219.8375254 ° 48 25 " = 254.8069

143 ° 0 0 " = 143.0000143 ° 0 0 " = 143.0000323 ° 0 0 " = 323.0000323 ° 0 0 " = 323.0000284 ° 50 45 " = 284.8458305 ° 51 15 " = 305.8542325 ° 31 30 " = 325.5250

153 ° 0 0 " = 153.0000153 ° 0 0 " = 153.0000333 ° 0 0 " = 333.0000333 ° 0 0 " = 333.0000315 ° 35 25 " = 315.5903297 ° 44 25 " = 297.7403277 ° 40 10 " = 277.6694

90 ° 0 0 " = 90.000090 ° 0 0 " = 90.0000

270 ° 0 0 " = 270.0000270 ° 0 0 " = 270.0000286 ° 54 15 " = 286.9042320 ° 59 25 " = 320.9903339 ° 36 30 " = 339.6083

45 ° 0 0 " = 45.000045 ° 0 0 " = 45.0000

225 ° 0 0 " = 225.0000225 ° 0 0 " = 225.0000248 ° 9 20 " = 248.1556276 ° 14 15 " = 276.2375326 ° 39 15 " = 326.6542

GANTI INI SESUAI DATA U!97 ° 45 15 " = 97.754297 ° 45 15 " = 97.754291 ° 4 10 " = 91.069491 ° 4 10 " = 91.069493 ° 13 10 " = 93.219493 ° 13 10 " = 93.219493 ° 13 10 " = 93.2194

92 ° 6 10 " = 92.102892 ° 6 10 " = 92.102892 ° 6 10 " = 92.102892 ° 6 10 " = 92.102889 ° 6 55 " = 89.115389 ° 6 55 " = 89.115390 ° 56 55 " = 90.9486

94 ° 6 15 " = 94.104293 ° 35 55 " = 93.598693 ° 35 55 " = 93.598693 ° 35 55 " = 93.598693 ° 35 55 " = 93.598693 ° 35 55 " = 93.598688 ° 55 5 " = 88.9181

88 ° 38 35 " = 88.643188 ° 38 35 " = 88.643188 ° 38 35 " = 88.643188 ° 38 35 " = 88.643188 ° 38 35 " = 88.643188 ° 38 35 " = 88.643188 ° 38 35 " = 88.6431

90 ° 52 5 " = 90.868190 ° 52 5 " = 90.868185 ° 1 55 " = 85.031985 ° 1 55 " = 85.031984 ° 31 40 " = 84.527882 ° 25 5 " = 82.418189 ° 3 35 " = 89.0597

89 ° 5 55 " = 89.0986

AU478

Khansa' Fatimah Az Zahrah: ganti, sesuai alfa ditiap detail

89 ° 5 55 " = 89.098689 ° 5 55 " = 89.098689 ° 5 55 " = 89.098689 ° 5 55 " = 89.098689 ° 5 55 " = 89.098689 ° 5 55 " = 89.0986

92 ° 18 5 " = 92.301492 ° 18 5 " = 92.301497 ° 2 50 " = 97.047294 ° 5 55 " = 94.098694 ° 6 0 " = 94.100094 ° 6 0 " = 94.100094 ° 5 55 " = 94.0986

88 ° 58 40 " = 88.977887 ° 58 40 " = 87.977887 ° 58 40 " = 87.977887 ° 58 40 " = 87.977887 ° 58 35 " = 87.976487 ° 58 35 " = 87.976487 ° 58 50 " = 87.9806

89 ° 59 25 " = 89.990389 ° 59 25 " = 89.990389 ° 59 25 " = 89.990389 ° 59 25 " = 89.990389 ° 59 25 " = 89.990389 ° 59 25 " = 89.990389 ° 59 25 " = 89.990388 ° 40 10 " = 88.669488 ° 40 10 " = 88.669488 ° 40 10 " = 88.669488 ° 40 10 " = 88.669488 ° 40 10 " = 88.669488 ° 40 10 " = 88.669488 ° 40 10 " = 88.669491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101491 ° 6 5 " = 91.101490 ° 57 55 " = 90.965390 ° 57 55 " = 90.965390 ° 57 55 " = 90.965390 ° 57 55 " = 90.9653

90 ° 57 55 " = 90.965390 ° 57 55 " = 90.965390 ° 57 55 " = 90.9653

= 0.2502 m alfa a = 97 ° 45 15 " = 97.7542 p0 1.385= -4.8485 alfa b = 97 ° 45 15 " = 97.7542= 0.2635 alfa c = 91 ° 4 10 " = 91.0694= 0.2691 alfa d = 91 ° 4 10 " = 91.0694= 0.1873 alfa e = 93 ° 13 10 " = 93.2194= 0.2462 alfa f = 93 ° 13 10 " = 93.2194= 0.2643 alfa g = 93 ° 13 10 " = 93.2194

= 0.1967 m alfa a = 92 ° 6 10 " = 92.1028 p1 1.320= 0.2233 alfa b = 92 ° 6 10 " = 92.1028= -0.0100 alfa c = 92 ° 6 10 " = 92.1028= 0.0567 alfa d = 92 ° 6 10 " = 92.1028= 0.1817 alfa e = 89 ° 6 55 " = 89.1153= 0.2017 alfa f = 89 ° 6 55 " = 89.1153= 0.2883 alfa g = 90 ° 56 55 " = 90.9486

= 0.0110 m alfa a = 94 ° 6 15 " = 94.1042 p2 1.380= 0.1671 alfa b = 93 ° 35 55 " = 93.5986= -0.1029 alfa c = 93 ° 35 55 " = 93.5986= -0.1733 alfa d = 93 ° 35 55 " = 93.5986

BI982


= 0.0041 alfa e = 93 ° 35 55 " = 93.5986= 0.0255 alfa f = 93 ° 35 55 " = 93.5986= -0.1470 alfa g = 88 ° 55 5 " = 88.9181

= 0.3810 m alfa a = 88 ° 38 35 " = 88.6431 p3 1.460= 0.4134 alfa b = 88 ° 38 35 " = 88.6431= 0.3115 alfa c = 88 ° 38 35 " = 88.6431= 0.3957 alfa d = 88 ° 38 35 " = 88.6431= 0.3184 alfa e = 88 ° 38 35 " = 88.6431= 0.2639 alfa f = 88 ° 38 35 " = 88.6431= 0.3270 alfa g = 88 ° 38 35 " = 88.6431

= 0.2546 m alfa a = 90 ° 52 5 " = 90.8681 p4 1.410= 0.2217 alfa b = 90 ° 52 5 " = 90.8681= 0.1920 alfa c = 85 ° 1 55 " = 85.0319= 0.2076 alfa d = 85 ° 1 55 " = 85.0319= 0.1745 alfa e = 84 ° 31 40 " = 84.5278= 0.0709 alfa f = 82 ° 25 5 " = 82.4181= 0.2949 alfa g = 89 ° 3 35 " = 89.0597

= 0.0536 m alfa a = 89 ° 5 55 " = 89.0986 p5 1.430= 0.0158 alfa b = 89 ° 5 55 " = 89.0986= -0.2388 alfa c = 89 ° 5 55 " = 89.0986= 0.1444 alfa d = 89 ° 5 55 " = 89.0986= 0.1037 alfa e = 89 ° 5 55 " = 89.0986= 0.0087 alfa f = 89 ° 5 55 " = 89.0986= -0.0313 alfa g = 89 ° 5 55 " = 89.0986

= 0.3294 m alfa a = 92 ° 18 5 " = 92.3014 p6 1.420= 0.5588 alfa b = 92 ° 18 5 " = 92.3014= -0.0277 alfa c = 97 ° 2 50 " = 97.0472= -1.1929 alfa d = 94 ° 5 55 " = 94.0986= -0.0405 alfa e = 94 ° 6 0 " = 94.1000= -0.0781 alfa f = 94 ° 6 0 " = 94.1000= -0.1844 alfa g = 94 ° 5 55 " = 94.0986

= #REF! m alfa a = 88 ° 58 40 " = 88.9778 p7 #REF!= #REF! alfa b = 87 ° 58 40 " = 87.9778= #REF! alfa c = 87 ° 58 40 " = 87.9778= #REF! alfa d = 87 ° 58 40 " = 87.9778= #REF! alfa e = 87 ° 58 35 " = 87.9764= #REF! alfa f = 87 ° 58 35 " = 87.9764= #REF! alfa g = 87 ° 58 50 " = 87.9806

= #REF! m alfa a = 89 ° 59 25 " = 89.9903 p8 #REF!= #REF! alfa b = 89 ° 59 25 " = 89.9903= #REF! alfa c = 89 ° 59 25 " = 89.9903= #REF! alfa d = 89 ° 59 25 " = 89.9903

= #REF! alfa e = 89 ° 59 25 " = 89.9903= #REF! alfa f = 89 ° 59 25 " = 89.9903= #REF! alfa g = 89 ° 59 25 " = 89.9903





197° 36' 40"= 197 +

36+

4060 3600

= 197 + 0.6 + 0.0111= 197.611111


Σβ = β1 + β2 + β3 + … βn

β P0 = 191 ° 32 5 " = 191.5347

= 204 ° 52 45 " = 204.8792

= 239 ° 0 45 " = 239.0125

= 188 ° 22 0 " = 188.3667

= 284 ° 10 35 " = 284.1764

= 156 ° 3 0 " = 156.0500

= 193 ° 15 50 " = 193.2639

= 187 ° 55 50 " = 187.9306

= 258 ° 26 40 " = 258.4444

= 162 ° 30 35 " = 162.5097

= 282 ° 7 0 " = 282.1167

= 179 ° 56 30 " = 179.9417 2520-8.2264Σβ = 2528.2264 2528.2264

Koreksi sudut (Σk)Rumus :

Σk == ( 12 + 2 ) . 180 ° - 2528.2264= 8.2264

Rumus :

∆β =Σkn

=8.2264

12= 0.6855


βn = βn ± ∆β

βP0 = 191.5347 - 0.6855 = 190.8492 0.68553241

= 204.8792 - 0.6855 = 204.1936 0.68553241

= 239.0125 - 0.6855 = 238.3270 0.68553241

= 188.3667 - 0.6855 = 187.6811 0.68553241

= 284.1764 - 0.6855 = 283.4909 0.68553241

= 156.0500 - 0.6855 = 155.3645 0.68553241

= 193.2639 - 0.6855 = 192.5784 0.68553241

= 187.9306 - 0.6855 = 187.2450 0.68553241

= 258.4444 - 0.6855 = 257.7589 0.68553241

β P1

β P2

β P3

β P4

β P5

β P6

β P7

β P8

β P9

β P10

β P11

(n±2). 180°- Σβ


βP1

βP2

βP3

βP4

βP5

βP6

βP7

βP8

P26


F32


F40


D46


= 162.5097 - 0.6855 = 161.8242 0.68553241

= 282.1167 - 0.6855 = 281.4311 0.68553241

= 179.9417 - 0.6855 = 179.2561 0.68553241

Ketentuan dari asisten nilai alfa u!Rumus : β P0 = 120 ° 42

αn = αn-1 ± βn (koreksi) ± 180 °

α0 = 190.8492 = 120.7111

= 190.8492 + 204.1936 + -180 = 215.0428 α2 = 120.7111 + 238.3270

= 215.0428 + 238.3270 + -180 = 273.3698 = 179.0381 + 187.6811

= 273.3698 + 187.6811 + -180 = 281.0509 α4 = 186.7192 + 283.4909

= 281.0509 + 283.4909 + -180 = 384.5418 = 290.2101 + 155.3645

= 384.5418 + 155.3645 + -180 = 359.9063 α6 = 265.5745 + 192.5784

= 359.9063 + 192.5784 + -180 = 372.4846 = 278.1529 + 187.2450

= 372.4846 + 187.2450 + -180 = 379.7296 α8 = 285.3979 + 257.7589

= 379.7296 + 257.7589 + -180 = 457.4885 = 363.1568 + 161.8242

= 457.4885 + 161.8242 + -180 = 439.3127 α10 = 344.9810 + 281.4311

= 439.3127 + 281.4311 + -180 = 540.7439 = 446.4122 + 179.2561

= 540.7439 + 179.2561 + -180 = 540.0000 α0 = 445.6683 + 190.8492

α0 = 540.0000 + 190.8492 + -180 = 550.8492 = 456.5175 + 204.1936= 480.7111 + - 360


D0n = (Ba-Bb) x 100

Do P0-P1 = ( 1.050 - 0.550 ) x 100 = 50 mDo P1-P2 = ( 1.210 - 1.000 ) x 100 = 21 mDo P2-P3 = ( 2.092 - 1.585 ) x 100 = 50.7 mDo P3-P4 = ( 2.115 - 1.110 ) x 100 = 100.5 mDo P4-P5 = ( 0.370 - 0.355 ) x 100 = 1.5 mDo P5-P6 = ( 1.105 - 0.530 ) x 100 = 57.5 mDo P6-P7 = ( 1.565 - 1.260 ) x 100 = 30.5 mDo P7-P8 = ( 1.705 - 1.215 ) x 100 = 49 mDo P8-P9 = ( 3.280 - 2.785 ) x 100 = 49.5 m

= ( 1.945 - 1.445 ) x 100 = 50 m

= ( 1.760 - 1.180 ) x 100 = 58 mDo P11-P0 = ( 2.730 - 1.900 ) x 100 = 83 mDo P0-P1 = ( 1.050 - 0.550 ) x 100 = 50 m

ΣD0 = 601.2 m


Dpn = Do . ( )

Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569Dp P1-P2 = 90 ° 24 10 " = 90.4028 21 x ( 90 - 90.4028Dp P2-P3 = 90 ° 23 0 " = 90.3833 50.7 x ( 90 - 90.3833Dp P3-P4 = 89 ° 30 0 " = 89.5000 100.5 x ( 90 - 89.5000Dp P4-P5 = 82 ° 25 25 " = 82.4236 1.5 x ( 90 - 82.4236Dp P5-P6 = 88 ° 45 5 " = 88.7514 57.5 x ( 90 - 88.7514

βP9

βP10

βP11


α1

α1

α2 α3

α3

α4 α5

α5

α6 α7

α7

α8 α9

α9

α10 α11

α11

α1

Do P9-P10

Do P10-P11

cos² 90°-γ

cos²cos²cos²cos²cos²cos²

AD60


W63


Y63


W75


T97


E103


Dp P6-P7 = 90 ° 52 40 " = 90.8778 30.5 x ( 90 - 90.8778Dp P7-P8 = 89 ° 59 25 " = 89.9903 49 x ( 90 - 89.9903Dp P8-P9 = 88 ° 28 35 " = 88.4764 49.5 x ( 90 - 88.4764

= 90 ° 35 40 " = 90.5944 50 x ( 90 - 90.5944

= 89 ° 27 30 " = 89.4583 58 x ( 90 - 89.4583Dp P11-P0 = 59 ° 58 48 " = 59.9800 83 x ( 90 - 59.9800Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569

Forgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!Perhitungan jarak horizontal patok utama (Dxn)Rumus :

Dxn = Dpn .

Dx0-Dx1 = 49.9677 x sin 120.7111 = 42.9599

= 20.9990 x sin 179.0381 = 0.3525

= 50.6977 x sin 186.7192 = -5.9318

= 100.492 x sin 290.2101 = -94.3053

= 1.4739 x sin 265.5745 = -1.4695

= 57.4727 x sin 278.1529 = -56.8918

= 30.4928 x sin 285.3979 = -29.3983

= 49.0000 x sin 363.1568 = 2.6984

= 49.4650 x sin 344.9810 = -12.8183

= 49.9946 x sin 446.4122 = 49.8966

= 57.9948 x sin 445.6683 = 57.8292Dx11-Dx0 = 62.2249 x sin 456.5175 = 61.8228

ΣDxn = 14.7443


Dyn = Dpn

Dy0-Dy1 = 49.9677 x cos 120.7111 = -25.5190

= 20.9990 x cos 179.0381 = -20.9960

= 50.6977 x cos 186.7192 = -50.3495

= 100.492 x cos 290.2101 = 34.7164

= 1.4739 x cos 265.5745 = -0.1137

= 57.4727 x cos 278.1529 = 8.1505

= 30.4928 x cos 285.3979 = 8.0965

= 49.0000 x cos 363.1568 = 48.9256

= 49.4650 x cos 344.9810 = 47.7753

= 49.9946 x cos 446.4122 = 3.1286

= 57.9948 x cos 445.6683 = 4.3804Dy11-Dy0 = 62.2249 x cos 456.5175 = -7.0629

ΣDyn = 51.1322


δDxn =Dpn

x ΣDxΣDp

δDx0 = ( 49.9677 / 580.2755 ) x 14.7443 = 1.2696δDx1 = ( 20.9990 / 580.2755 ) x 14.7443 = 0.5336δDx2 = ( 50.6977 / 580.2755 ) x 14.7443 = 1.2882

cos²cos²cos²

Dp P9-P10 cos²

Dp P10-P11 cos²cos²cos²

sinαn

Dx1-Dx2

Dx2-Dx3

Dx3-Dx4

Dx4-Dx5

Dx5-Dx6

Dx6-Dx7

Dx7-Dx8

Dx8-Dx9

Dx9-Dx10

Dx10-Dx11

.cos αn

Dy1-Dy2

Dy2-Dy3

Dy3-Dy4

Dy4-Dy5

Dy5-Dy6

Dy6-Dy7

Dy7-Dy8

Dy8-Dy9

Dy9-Dy10

Dy10-Dy11

δDx3 = ( 100.4923 / 580.2755 ) x 14.7443 = 2.5534δDx4 = ( 1.4739 / 580.2755 ) x 14.7443 = 0.0375δDx5 = ( 57.4727 / 580.2755 ) x 14.7443 = 1.4603δDx6 = ( 30.4928 / 580.2755 ) x 14.7443 = 0.7748δDx7 = ( 49.0000 / 580.2755 ) x 14.7443 = 1.2450δDx8 = ( 49.4650 / 580.2755 ) x 14.7443 = 1.2569δDx9 = ( 49.9946 / 580.2755 ) x 14.7443 = 1.2703δDx10 = ( 57.9948 / 580.2755 ) x 14.7443 = 1.4736δDx11 = ( 62.2249 / 580.2755 ) x 14.7443 = 1.5811 Controling Cabin

ΣδDx = 14.7443 Congratulation ^_^


δDyn =Dpn

x ΣDyΣDp

δDy0 = ( 49.9677 / 580.2755216588 ) x 51.1322 = 4.4030δDy1 = ( 20.9990 / 580.2755216588 ) x 51.1322 = 1.8504δDy2 = ( 50.6977 / 580.2755216588 ) x 51.1322 = 4.4673δDy3 = ( 100.4923 / 580.2755216588 ) x 51.1322 = 8.8551δDy4 = ( 1.4739 / 580.2755216588 ) x 51.1322 = 0.1299δDy5 = ( 57.4727 / 580.2755216588 ) x 51.1322 = 5.0643δDy6 = ( 30.4928 / 580.2755216588 ) x 51.1322 = 2.6869δDy7 = ( 49.0000 / 580.2755216588 ) x 51.1322 = 4.3177δDy8 = ( 49.4650 / 580.2755216588 ) x 51.1322 = 4.3587δDy9 = ( 49.9946 / 580.2755216588 ) x 51.1322 = 4.4054δDy10 = ( 57.9948 / 580.2755216588 ) x 51.1322 = 5.1103δDy11 = ( 62.2249 / 580.2755216588 ) x 51.1322 = 5.4831 Controling Cabin

ΣδDy = 51.1322 Congratulation ^_^




(90°-γ) ∆H P0-P1 = 50 x 0.5 sin 2 ( 90 ° - 91.4569 ) + ( 1.300 - 0.800 ) = -1.4569∆H P1-P2 = 21 x 0.5 sin2 ( 90 ° - 90.4028 ) + ( 1.270 - 1.100 ) = -0.4028∆H P2-P3 = 50.7 x 0.5 sin 2 ( 90 ° - 90.3833 ) + ( 1.450 - 1.035 ) = -0.3833∆H P3-P4 = 100.5 x 0.5 sin 2 ( 90 ° - 89.5000 ) + ( 1.450 - 1.855 ) = 0.5000∆H P4-P5 = 1.5 x 0.5 sin 2 ( 90 ° - 82.4236 ) + ( 1.240 - 0.363 ) = 7.5764∆H P5-P6 = 57.5 x 0.5 sin 2 ( 90 ° - 88.7514 ) + ( 1.310 - 0.830 ) = 1.2486∆H P6-P7 = 30.5 x 0.5 sin 2 ( 90 ° - 90.8778 ) + ( 1.360 - 1.320 ) = -0.8778∆H P7-P8 = 49 x 0.5 sin 2 ( 90 ° - 89.9903 ) + ( 1.290 - 1.560 ) = 0.0097∆H P8-P9 = 49.5 x 0.5 sin 2 ( 90 ° - 88.4764 ) + ( 1.310 - 3.030 ) = 1.5236∆H P9-P10 = 50 x 0.5 sin 2 ( 90 ° - 90.5944 ) + ( 1.390 - 1.700 ) = -0.5944∆H P10-P11 = 58 x 0.5 sin 2 ( 90 ° - 89.4583 ) + ( 1.400 - 1.570 ) = 0.5417∆H P11-P0 = 83 x 0.5 sin 2 ( 90 ° - #REF! ) + ( 1.360 - 2.325 ) = #REF!


δ∆H = -Σ∆Hn

n

=#REF!

12= #REF!


sin 2 (90°-γ) + (Tpswt - Bt)



X1 = 122.8X2 = 122.8 + 42.9599 - 1.2696 = 164.4902X3 = 164.4902 + 0.3525 - 0.5336 = 164.3092X4 = 164.3092 + -5.9318 - 1.2882 = 157.0892X5 = 157.08919554 + -94.3053 - 2.5534 = 60.2305X6 = 60.230511044 + -1.4695 - 0.0375 = 58.7235X7 = 58.723530211 + -56.8918 - 1.4603 = 0.3714X8 = 0.3713720369 + -29.3983 - 0.7748 = -29.8017X9 = -29.801726305 + 2.6984 - 1.2450 = -28.3484X10 = -28.348381307 + -12.8183 - 1.2569 = -42.4236X11 = -42.423555084 + 49.8966 - 1.2703 = 6.2028X0 = 6.2027575746 + 57.8292 - 1.4736 = 62.5583 Controling cabinX1 = 62.5583 + 61.8228 - 1.5811 = 122.8000 Congratulation^_^



Y1 = -3.99Y2 = -3.99 + -25.5190 - 4.4030 = -33.9120Y3 = -33.9120 + -20.9960 - 1.8504 = -56.7583Y4 = -56.7583 + -50.3495 - 4.4673 = -111.5752Y5 = -111.5752 + 34.7164 - 8.8551 = -85.7139Y6 = -85.7139 + -0.1137 - 0.1299 = -85.9575Y7 = -85.9575 + 8.1505 - 5.0643 = -82.8713Y8 = -82.8713 + 8.0965 - 2.6869 = -77.4618Y9 = -77.4618 + 48.9256 - 4.3177 = -32.8539Y10 = -32.8539 + 47.7753 - 4.3587 = 10.5627Y11 = 10.5627 + 3.1286 - 4.4054 = 9.2859Y0 = 9.2859 + 4.3804 - 5.1103 = 8.5560 Controling cabinY1 = 8.5560 + -7.0629 - 5.4831 = -3.9900 Congratulation^_^


\Pn = ∆Hn / D0n x 100 %

\P0-1 = -0.7709 / 50 x 100 % = -1.54175174959 %\P1-2 = 0.0224 / 21 x 100 % = 0.106567131622 %\P2-3 = 0.0758 / 50.7 x 100 % = 0.149517518874 %\P2-4 = 0.4720 / 100.5 x 100 % = 0.469635247237 %\P4-5 = 1.0730 / 1.5 x 100 % = 71.53635362881 %\P5-6 = 1.7327 / 57.5 x 100 % = 3.013330213171 %\P6-7 = -0.4272 / 30.5 x 100 % = -1.40062398792 %\P7-8 = -0.2617 / 49 x 100 % = -0.53405192965 %\P8-9 = -0.4043 / 49.5 x 100 % = -0.81679786886 %\P9-10 = -0.8287 / 50 x 100 % = -1.65742682747 %\P10-11 = 0.3783 / 58 x 100 % = 0.652226901229 %\P11-0 = #REF! / 83 x 100 % = #REF! %


Pn = Pn-1 ± ∆Hn-1 ± δ∆H

P1 = 20.4000P2 = 20.4000 + 0.0224 + #REF! = #REF! 20.4000 20.4224 + #REF! =P3 = #REF! + 0.0758 + #REF! = #REF! 20.4982 + #REF! =P4 = #REF! + 0.4720 + #REF! = #REF! 20.9702 + #REF! =P5 = #REF! + 1.0730 + #REF! = #REF! 22.0432 + #REF! =P6 = #REF! + 1.7327 + #REF! = #REF! 23.7759 + #REF! =P7 = #REF! + -0.4272 + #REF! = #REF! 23.3487 + #REF! =P8 = #REF! + -0.2617 + #REF! = #REF! 23.0870 + #REF! =P9 = #REF! + -0.4043 + #REF! = #REF! 22.6827 + #REF! =P10 = #REF! + -0.8287 + #REF! = #REF! 21.8540 + #REF! =P11 = #REF! + 0.3783 + #REF! = #REF! 22.2323 + #REF! =P0 = #REF! + #REF! + #REF! = #REF! #REF! + #REF! =P1 = #REF! + -0.7709 + #REF! = #REF! #REF! + #REF! =

Perhitungan Luas ArealRumus :

L=

(Xn. Yn+1)-(Yn. Xn+1)2

P0=

( 62.5583 . -3.990 ) - ( 8.5560 - 122.8000 )= -650.1418

2.0000

P1=

( 122.8000 . -33.912 ) - ( -3.9900 - -33.9120 )= -2149.8499

2.0000

P2=

( 164.4902 . -56.758 ) - ( -33.9120 - 164.3092 )= -1882.0720

2.0000

P3=

( 164.3092 . -111.575 ) - ( -56.7583 - 157.0892 )= -4708.3541

2.0000

P4=

( 157.0892 . -85.714 ) - ( -111.575 - 60.2305 )= -3372.2470

2.0000

P5=

( 60.2305 . -85.957 ) - ( -85.714 - 58.7235 )= -71.9209

2.0000

P6=

( 58.7235 . -82.871 ) - ( -85.957 - 0.3714 )= -2417.2871

2.0000

P7=

( 0.3714 . -77.462 ) - ( -82.871 - -29.8017 )= -1249.2378

2.0000

P8=

( -29.8017 . -32.854 ) - ( -77.462 - -28.3484 )= -608.4070

2.0000

P9=

( -28.3484 . 10.563 ) - ( -32.854 - -42.4236 )= -846.6067

2.0000

P10=

( -42.4236 . 9.286 ) - ( 10.563 - 6.2028 )= -229.7302

2.0000

P11=

( 6.2028 . 8.556 ) - ( 9.286 - 62.5583 )= -263.9210

2.0000= 18449.7755

m²

m²

m²

m²

m²

m²

m²

m²

m²

m²

m²

m²

m²

K288

Khansa' Fatimah Az Zahrah: nd masuk akal!

= 18.44977546985 Ha

PROFIL MELINTANG


α0 -> a = 456.5175 + 28.7514 - 180 = 305.2689b = 456.5175 + 28.7514 - 180 = 305.2689c = 456.5175 + 208.7514 - 540 = 125.2689d = 456.5175 + 208.7514 - 540 = 125.2689e = 456.5175 + 147.3653 - 540 = 63.8828f = 456.5175 + 184.6278 - 540 = 101.1453g = 456.5175 + 233.6833 - 540 = 150.2008

α1 -> a = 120.7111 + 90.1472 - 180 = 30.8583b = 120.7111 + 90.1486 - 180 = 30.8597c = 120.7111 + 270.1486 - 180 = 210.8597d = 120.7111 + 270.1486 - 180 = 210.8597e = 120.7111 + 326.1111 - 180 = 266.8222f = 120.7111 + 351.2194 - 180 = 291.9306g = 120.7111 + 334.3986 - 180 = 275.1097

α2 -> a = 179.0381 + 66.5264 - 180 = 65.5645b = 179.0381 + 66.5264 - 180 = 65.5645c = 179.0381 + 246.5264 - 180 = 245.5645d = 179.0381 + 246.5264 - 180 = 245.5645e = 179.0381 + 233.8458 - 180 = 232.8839f = 179.0381 + 275.2986 - 180 = 274.3367g = 179.0381 + 283.8111 - 180 = 282.8492

α3 -> a = 186.7192 + 87.3250 - 180 = 94.0442b = 186.7192 + 87.4361 - 180 = 94.1553c = 186.7192 + 267.4361 - 180 = 274.1553d = 186.7192 + 267.4361 - 180 = 274.1553e = 186.7192 + 308.4403 - 180 = 315.1595f = 186.7192 + 324.3778 - 180 = 331.0970g = 186.7192 + 259.3139 - 180 = 266.0331

α4 -> a = 290.2101 + 115.9597 - 180 = 226.1698b = 290.2101 + 115.9597 - 180 = 226.1698c = 290.2101 + 295.9542 - 540 = 46.1642d = 290.2101 + 295.9542 - 540 = 46.1642e = 290.2101 + 350.1208 - 540 = 100.3309f = 290.2101 + 335.1861 - 540 = 85.3962g = 290.2101 + 307.3792 - 540 = 57.5892

α5 -> a = 265.5745 + 45.1889 - 180 = 130.7634b = 265.5745 + 45.1889 - 180 = 130.7634c = 265.5745 + 225.1889 - 180 = 310.7634d = 265.5745 + 225.1889 - 180 = 310.7634e = 265.5745 + 195.8139 - 180 = 281.3884f = 265.5745 + 235.8264 - 180 = 321.4009g = 265.5745 + 291.9972 - 540 = 17.5718

α6 -> a = 278.1529 + 127.0000 - 180 = 225.1529b = 278.1529 + 127.0000 - 180 = 225.1529c = 278.1529 + 307.0000 - 540 = 45.1529d = 278.1529 + 307.0000 - 540 = 45.1529e = 278.1529 + 223.0000 - 180 = 321.1529


f = 278.1529 + 247.4958 - 180 = 345.6487g = 278.1529 + 265.0347 - 540 = 3.1876

α7 -> a = 285.3979 + 15.0000 - 180 = 120.3979b = 285.3979 + 15.0000 - 180 = 120.3979c = 285.3979 + 195.0000 - 180 = 300.3979d = 285.3979 + 195.0000 - 180 = 300.3979e = 285.3979 + 203.2125 - 180 = 308.6104f = 285.3979 + 219.8375 - 180 = 325.2354g = 285.3979 + 254.8069 - 540 = 0.2049

α8 -> a = 363.1568 + 143.0000 - 180 = 326.1568b = 363.1568 + 143.0000 - 180 = 326.1568c = 363.1568 + 323.0000 - 540 = 146.1568d = 363.1568 + 323.0000 - 540 = 146.1568e = 363.1568 + 284.8458 - 540 = 108.0027f = 363.1568 + 305.8542 - 540 = 129.0110g = 363.1568 + 325.5250 - 540 = 148.6818

α9 -> a = 344.9810 + 153.0000 - 180 = 317.9810b = 344.9810 + 153.0000 - 180 = 317.9810c = 344.9810 + 333.0000 - 540 = 137.9810d = 344.9810 + 333.0000 - 540 = 137.9810e = 344.9810 + 315.5903 - 540 = 120.5713f = 344.9810 + 297.7403 - 540 = 102.7213g = 344.9810 + 277.6694 - 540 = 82.6505

α10 -> a = 446.4122 + 90.0000 - 180 = 356.4122b = 446.4122 + 90.0000 - 180 = 356.4122c = 446.4122 + 270.0000 - 540 = 176.4122d = 446.4122 + 270.0000 - 540 = 176.4122e = 446.4122 + 286.9042 - 540 = 193.3163f = 446.4122 + 320.9903 - 540 = 227.4024g = 446.4122 + 339.6083 - 540 = 246.0205

α11 -> a = 445.6683 + 45.0000 - 180 = 310.6683b = 445.6683 + 45.0000 - 180 = 310.6683c = 445.6683 + 225.0000 - 540 = 130.6683d = 445.6683 + 225.0000 - 540 = 130.6683e = 445.6683 + 248.1556 - 540 = 153.8238f = 445.6683 + 276.2375 - 540 = 181.9058g = 445.6683 + 326.6542 - 540 = 232.3225

Perhitungan Jarak Optis Titik DetailRumus :

D0 det = (Ba-Bb) x 100

α0 -> a = ( 0.6100 - 0.5700 ) x 100 = 4.00b = ( 0.4950 - 0.3960 ) x 100 = 9.90c = ( 1.0600 - 1.0150 ) x 100 = 4.50d = ( 0.9650 - 0.8600 ) x 100 = 10.50

e = ( 0.7050 - 0.6100 ) x 100 = 9.50f = ( 0.6050 - 0.5000 ) x 100 = 10.50g = ( 0.6100 - 0.5100 ) x 100 = 10.00












Perhitungan Jarak proyeksi Rumus :

Dpn det = D0n det xCos² (90° - γ) Dpn det

α0 -> a = 4.00 x Cos² ( 90 - 97.7542 ) = -7.7542 0.99085608813 3.9272b = 9.90 x Cos² ( 90 - 97.7542 ) = -7.7542 0.99085608813 9.7198c = 4.50 x Cos² ( 90 - 91.0694 ) = -1.0694 0.999825807847 4.4984d = 10.50 x Cos² ( 91 - 91.0694 ) = -0.0694 0.999999265487 10.5000e = 9.50 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 9.4700f = 10.50 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 10.4669g = 10.00 x Cos² ( 90 - 93.2194 ) = -3.2194 0.998421762566 9.9685

α1 -> a = 5.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 4.9933b = 10.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 9.9865c = 6.00 x Cos² ( 90 - 92.1028 ) = -2.1028 0.999326616067 5.9919d = 9.50 x Cos² ( 91 - 92.1028 ) = -1.1028 0.999814780228 9.4965e = 9.50 x Cos² ( 90 - 89.1153 ) = 0.8847 0.999880785253 9.4977f = 9.50 x Cos² ( 90 - 89.1153 ) = 0.8847 0.999880785253 9.4977g = 14.00 x Cos² ( 90 - 90.9486 ) = -0.9486 0.999862946152 13.9962

α2 -> a = 6.50 x Cos² ( 90 - 94.1042 ) = -4.1042 0.997435580853 6.4667b = 3.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 2.9882c = 3.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 2.9882d = 5.40 x Cos² ( 91 - 93.5986 ) = -2.5986 0.998971669127 5.3889e = 6.00 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 5.9764f = 5.50 x Cos² ( 90 - 93.5986 ) = -3.5986 0.99802825022 5.4783g = 8.00 x Cos² ( 90 - 88.9181 ) = 1.0819 0.999821712146 7.9971

Cos² (90° - γ) (90° - γ)

α3 -> a = 3.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 2.9983b = 5.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.9972c = 4.50 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.4975d = 7.00 x Cos² ( 91 - 88.6431 ) = 2.3569 0.999154015926 6.9882e = 5.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 4.9972f = 6.50 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 6.4964g = 6.00 x Cos² ( 90 - 88.6431 ) = 1.3569 0.999719567351 5.9966

α4 -> a = 3.00 x Cos² ( 90 - 90.8681 ) = -0.8681 0.999885234468 2.9993b = 5.50 x Cos² ( 90 - 90.8681 ) = -0.8681 0.999885234468 5.4987c = 3.50 x Cos² ( 90 - 85.0319 ) = 4.9681 0.996243135699 3.4738d = 6.00 x Cos² ( 91 - 85.0319 ) = 5.9681 0.994580019147 5.9351e = 7.00 x Cos² ( 90 - 84.5278 ) = 5.4722 0.995442548716 6.9363f = 7.50 x Cos² ( 90 - 82.4181 ) = 7.5819 0.991257168844 7.3694g = 7.00 x Cos² ( 90 - 89.0597 ) = 0.9403 0.999865343495 6.9981


α6 -> a = 4.50 x Cos² ( 90 - 92.3014 ) = -2.3014 0.999193421999 4.4927b = 10.00 x Cos² ( 90 - 92.3014 ) = -2.3014 0.999193421999 9.9839c = 3.80 x Cos² ( 90 - 97.0472 ) = -7.0472 0.992445371873 3.7428d = 10.00 x Cos² ( 91 - 94.0986 ) = -3.0986 0.99853798094 9.9708e = 8.00 x Cos² ( 90 - 94.1000 ) = -4.1000 0.997440782931 7.9591f = 10.00 x Cos² ( 90 - 94.1000 ) = -4.1000 0.997440782931 9.9489g = 15.00 x Cos² ( 90 - 94.0986 ) = -4.0986 0.997442515785 14.9234




α10 -> a = 6.00 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 5.9978b = 10.50 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 10.4961c = 4.00 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 3.9985d = 9.00 x Cos² ( 91 - 91.1014 ) = -0.1014 0.999998434312 9.0000e = 8.00 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 7.9970f = 8.00 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 7.9970

g = 2.00 x Cos² ( 90 - 91.1014 ) = -1.1014 0.999815246469 1.9993α11 -> a = 5.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 4.9986

b = 10.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 9.9972c = 5.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 4.9986d = 10.00 x Cos² ( 91 - 90.9653 ) = 0.0347 0.999999816372 10.0000e = 9.50 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 9.4973f = 10.50 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 10.4970g = 13.00 x Cos² ( 90 - 90.9653 ) = -0.9653 0.999858088012 12.9963

Perhitungan jarak horizontal detailRumus :

DXn det= DPn det x






D5 -> a = 4.998763 x sin 130.7634 = 3.7861b = 7.99802 x sin 130.7634 = 6.0578c = 5.798565 x sin 310.7634 = -4.3919d = 9.489542 x sin 310.7634 = -7.1875e = 8.497896 x sin 281.3884 = -8.3306f = 8.497896 x sin 321.4009 = -5.3016

sin αn det

g = 8.497896 x sin 17.5718 = 2.5655

D6 -> a = 4.492744 x sin 225.1529 = -3.1853b = 9.983875 x sin 225.1529 = -7.0785c = 3.742802 x sin 45.1529 = 2.6536d = 9.970781 x sin 45.1529 = 7.0692e = 7.959105 x sin 321.1529 = -4.9923f = 9.948881 x sin 345.6487 = -2.4660g = 14.92337 x sin 3.1876 = 0.8298

D7 -> a = 4.198663 x sin 120.3979 = 3.6215b = 7.490661 x sin 120.3979 = 6.4609c = 4.993774 x sin 300.3979 = -4.3073d = 7.977762 x sin 300.3979 = -6.8811e = 9.987531 x sin 308.6104 = -7.8043f = 4.993766 x sin 325.2354 = -2.8475g = 4.993791 x sin 0.2049 = 0.0179



D10 -> a = 5.997783 x sin 356.4122 = -0.3753b = 10.49612 x sin 356.4122 = -0.6568c = 3.998522 x sin 176.4122 = 0.2502d = 8.999972 x sin 176.4122 = 0.5632e = 7.997044 x sin 193.3163 = -1.8419f = 7.997044 x sin 227.4024 = -5.8868g = 1.999261 x sin 246.0205 = -1.8267

D11 -> a = 4.998581 x sin 310.6683 = -3.7914b = 9.997162 x sin 310.6683 = -7.5828c = 4.998581 x sin 130.6683 = 3.7914d = 10.000 x sin 130.6683 = 7.5849e = 9.497304 x sin 153.8238 = 4.1896f = 10.49702 x sin 181.9058 = -0.3491g = 12.99631 x sin 232.3225 = -10.2861

Perhitungan jarak vertikal detailRumus :

DYn det= DPn det x

D0 -> a = 3.927183 x cos 305.2689 = 2.2676b = 9.719778 x cos 305.2689 = 5.6123c = 4.498432 x cos 125.2689 = -2.5975d = 10.49998 x cos 125.2689 = -6.0628e = 9.470037 x cos 63.8828 = 4.1688

cos αn det

f = 10.46688 x cos 101.1453 = -2.0232g = 9.96846 x cos 150.2008 = -8.6504



D3 -> a = 2.998318 x cos 94.0442 = -0.2115b = 4.997196 x cos 94.1553 = -0.3621c = 4.497476 x cos 274.1553 = 0.3259d = 6.988161 x cos 274.1553 = 0.5064e = 4.997196 x cos 315.1595 = 3.5434f = 6.496355 x cos 331.0970 = 5.6872g = 5.996635 x cos 266.0331 = -0.4148

D4 -> a = 2.999311 x cos 226.1698 = -2.0771b = 5.498738 x cos 226.1698 = -3.8080c = 3.473751 x cos 46.1642 = 2.4059d = 5.935136 x cos 46.1642 = 4.1106e = 6.936341 x cos 100.3309 = -1.2439f = 7.369431 x cos 85.3962 = 0.5915g = 6.998115 x cos 57.5892 = 3.7509




D8 -> a = 3.5 x cos 326.1568 = 2.9070

b = 6 x cos 326.1568 = 4.9834c = 4 x cos 146.1568 = -3.3223d = 15.99503 x cos 146.1568 = -13.2849e = 5 x cos 108.0027 = -1.5453f = 6 x cos 129.0110 = -3.7768g = 10 x cos 148.6818 = -8.5429

D9 -> a = 3.997843 x cos 317.9810 = 2.9701b = 6.996226 x cos 317.9810 = 5.1977c = 2.998382 x cos 137.9810 = -2.2276d = 5.990078 x cos 137.9810 = -4.4502e = 0.999461 x cos 120.5713 = -0.5083f = 3.997843 x cos 102.7213 = -0.8804g = 5.996765 x cos 82.6505 = 0.7671



Perhitungan koordinat horizontal detailRumus :

Xn det =

X0 -> a = 62.5583 + -3.2064 = 59.3520b = 62.5583 + -7.9357 = 54.6226c = 62.5583 + 3.6728 = 66.2311d = 62.5583 + 8.5727 = 71.1310e = 62.5583 + 8.5031 = 71.0614f = 62.5583 + 10.2695 = 72.8278g = 62.5583 + 4.9539 = 67.5123

X1 -> a = 122.8000 + 2.5611 = 125.3611b = 122.8000 + 5.1225 = 127.9225c = 122.8000 + -3.0735 = 119.7265d = 122.8000 + -4.8711 = 117.9289e = 122.8000 + -9.4831 = 113.3169f = 122.8000 + -8.8105 = 113.9895g = 122.8000 + -13.9405 = 108.8595

X2 -> a = 164.4902 + 5.8875 = 170.3777b = 164.4902 + 2.7205 = 167.2108c = 164.4902 + -2.7205 = 161.7697d = 164.4902 + -4.9062 = 159.5840e = 164.4902 + -4.7656 = 159.7246f = 164.4902 + -5.4626 = 159.0276g = 164.4902 + -7.7969 = 156.6934

X3 -> a = 164.3092 + 2.9909 = 167.3001

Xn ± DXn det

b = 164.3092 + 4.9841 = 169.2933c = 164.3092 + -4.4857 = 159.8235d = 164.3092 + -6.9698 = 157.3394e = 164.3092 + -3.5237 = 160.7855f = 164.3092 + -3.1399 = 161.1693g = 164.3092 + -5.9823 = 158.3269

X4 -> a = 157.0892 + -2.1637 = 154.9255b = 157.0892 + -3.9668 = 153.1224c = 157.0892 + 2.5057 = 159.5949d = 157.0892 + 4.2812 = 161.3704e = 157.0892 + 6.8239 = 163.9131f = 157.0892 + 7.3457 = 164.4348g = 157.0892 + 5.9080 = 162.9972

X5 -> a = 60.2305 + 3.7861 = 64.0166b = 60.2305 + 6.0578 = 66.2883c = 60.2305 + -4.3919 = 55.8386d = 60.2305 + -7.1875 = 53.0430e = 60.2305 + -8.3306 = 51.8999f = 60.2305 + -5.3016 = 54.9290g = 60.2305 + 2.5655 = 62.7960

X6 -> a = 58.7235 + -3.1853 = 55.5382b = 58.7235 + -7.0785 = 51.6451c = 58.7235 + 2.6536 = 61.3771d = 58.7235 + 7.0692 = 65.7927e = 58.7235 + -4.9923 = 53.7312f = 58.7235 + -2.4660 = 56.2575g = 58.7235 + 0.8298 = 59.5534

X7 -> a = 0.3714 + 3.6215 = 3.9929b = 0.3714 + 6.4609 = 6.8323c = 0.3714 + -4.3073 = -3.9359d = 0.3714 + -6.8811 = -6.5097e = 0.3714 + -7.8043 = -7.4330f = 0.3714 + -2.8475 = -2.4761g = 0.3714 + 0.0179 = 0.3892

X8 -> a = -29.8017 + -1.9492 = -31.7510b = -29.8017 + -3.3415 = -33.1433c = -29.8017 + 2.2277 = -27.5740d = -29.8017 + 8.9080 = -20.8937e = -29.8017 + 4.7552 = -25.0465f = -29.8017 + 4.6622 = -25.1396g = -29.8017 + 5.1979 = -24.6038

X9 -> a = -28.3484 + -2.6761 = -31.0244b = -28.3484 + -4.6831 = -33.0315c = -28.3484 + 2.0070 = -26.3413d = -28.3484 + 4.0096 = -24.3388e = -28.3484 + 0.8605 = -27.4878f = -28.3484 + 3.8997 = -24.4487g = -28.3484 + 5.9475 = -22.4009

X10 -> a = -42.4236 + -0.3753 = -42.7989b = -42.4236 + -0.6568 = -43.0804c = -42.4236 + 0.2502 = -42.1733d = -42.4236 + 0.5632 = -41.8603e = -42.4236 + -1.8419 = -44.2655

f = -42.4236 + -5.8868 = -48.3104g = -42.4236 + -1.8267 = -44.2503

X11 -> a = 6.2028 + -3.7914 = 2.4114b = 6.2028 + -7.5828 = -1.3800c = 6.2028 + 3.7914 = 9.9942d = 6.2028 + 7.5849 = 13.7877e = 6.2028 + 4.1896 = 10.3923f = 6.2028 + -0.3491 = 5.8537g = 6.2028 + -10.2861 = -4.0833

Perhitungan koordinat vertikal detailRumus :

Yn det =

Y0 -> a = 8.5560 + 2.2676 = 10.8236b = 8.5560 + 5.6123 = 14.1683c = 8.5560 + -2.5975 = 5.9585d = 8.5560 + -6.0628 = 2.4932e = 8.5560 + 4.1688 = 12.7248f = 8.5560 + -2.0232 = 6.5328g = 8.5560 + -8.6504 = -0.0944

Y1 -> a = -3.9900 + 4.2864 = 0.2964b = -3.9900 + 8.5727 = 4.5827c = -3.9900 + -5.1436 = -9.1336d = -3.9900 + -8.1520 = -12.1420e = -3.9900 + -0.5265 = -4.5165f = -3.9900 + 3.5472 = -0.4428g = -3.9900 + 1.2465 = -2.7435

Y2 -> a = -33.9120 + 2.6751 = -31.2369b = -33.9120 + 1.2361 = -32.6759c = -33.9120 + -1.2361 = -35.1481d = -33.9120 + -2.2292 = -36.1412e = -33.9120 + -3.6063 = -37.5183f = -33.9120 + 0.4143 = -33.4977g = -33.9120 + 1.7785 = -32.1335

Y3 -> a = -56.7583 + -0.2115 = -56.9698b = -56.7583 + -0.3621 = -57.1204c = -56.7583 + 0.3259 = -56.4325d = -56.7583 + 0.5064 = -56.2520e = -56.7583 + 3.5434 = -53.2150f = -56.7583 + 5.6872 = -51.0712g = -56.7583 + -0.4148 = -57.1732

Y4 -> a = -111.5752 + -2.0771 = -113.6523b = -111.5752 + -3.8080 = -115.3832c = -111.5752 + 2.4059 = -109.1693d = -111.5752 + 4.1106 = -107.4646e = -111.5752 + -1.2439 = -112.8191f = -111.5752 + 0.5915 = -110.9837g = -111.5752 + 3.7509 = -107.8243

Y5 -> a = -85.7139 + -3.2639 = -88.9778b = -85.7139 + -5.2222 = -90.9361c = -85.7139 + 3.7861 = -81.9278d = -85.7139 + 6.1961 = -79.5178

Yn ± DYn det

e = -85.7139 + 1.6780 = -84.0359f = -85.7139 + 6.6414 = -79.0725g = -85.7139 + 8.1014 = -77.6125

Y6 -> a = -85.9575 + -3.1684 = -89.1259b = -85.9575 + -7.0408 = -92.9983c = -85.9575 + 2.6395 = -83.3180d = -85.9575 + 7.0316 = -78.9259e = -85.9575 + 6.1987 = -79.7588f = -85.9575 + 9.6384 = -76.3191g = -85.9575 + 14.9003 = -71.0572

Y7 -> a = -82.8713 + -2.1245 = -84.9959b = -82.8713 + -3.7903 = -86.6616c = -82.8713 + 2.5269 = -80.3445d = -82.8713 + 4.0368 = -78.8346e = -82.8713 + 6.2324 = -76.6389f = -82.8713 + 4.1024 = -78.7689g = -82.8713 + 4.9938 = -77.8776

Y8 -> a = -77.4618 + 2.9070 = -74.5548b = -77.4618 + 4.9834 = -72.4784c = -77.4618 + -3.3223 = -80.7840d = -77.4618 + -13.2849 = -90.7467e = -77.4618 + -1.5453 = -79.0071f = -77.4618 + -3.7768 = -81.2386g = -77.4618 + -8.5429 = -86.0047

Y9 -> a = -32.8539 + 2.9701 = -29.8838b = -32.8539 + 5.1977 = -27.6562c = -32.8539 + -2.2276 = -35.0814d = -32.8539 + -4.4502 = -37.3040e = -32.8539 + -0.5083 = -33.3622f = -32.8539 + -0.8804 = -33.7342g = -32.8539 + 0.7671 = -32.0867

Y10 -> a = 10.5627 + 5.9860 = 16.5487b = 10.5627 + 10.4755 = 21.0383c = 10.5627 + -3.9907 = 6.5720d = 10.5627 + -8.9823 = 1.5804e = 10.5627 + -7.7820 = 2.7807f = 10.5627 + -5.4128 = 5.1500g = 10.5627 + -0.8125 = 9.7502

Y11 -> a = 9.2859 + 3.2575 = 12.5434b = 9.2859 + 6.5149 = 15.8009c = 9.2859 + -3.2575 = 6.0285d = 9.2859 + -6.5168 = 2.7692e = 9.2859 + -8.5233 = 0.7627f = 9.2859 + -10.4912 = -1.2053g = 9.2859 + -7.9436 = 1.3424

Perhitungan Beda Tinggi Patok DetailRumus :

∆Hn = D0det 1/2

(90°-γ)

∆H P0 a = 4.00 x 0.5 x sin 2 ( 90 ° - 97.7542 ) + ( 1.300 - 0.6000 ) = -7.7542b = 9.90 x 0.5 x sin 2 ( 90 ° - 97.7542 ) + ( 1.300 - 4.9100 ) = -7.7542c = 4.50 x 0.5 x sin 2 ( 90 ° - 91.0694 ) + ( 1.300 - 1.0375 ) = -1.0694

sin 2 (90°-γ) + (Tpswt - Bt)

d = 10.50 x 0.5 x sin 2 ( 90 ° - 91.0694 ) + ( 1.300 - 0.9200 ) = -1.0694e = 9.50 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.300 - 0.6650 ) = -3.2194f = 10.50 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.300 - 0.5500 ) = -3.2194g = 10.00 x 0.5 x sin 2 ( 90 ° - 93.2194 ) + ( 1.300 - 0.5600 ) = -3.2194

∆H P1 a = 5.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.270 - 0.9400 ) = -2.1028b = 10.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.270 - 0.7300 ) = -2.1028c = 6.00 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.270 - 1.1100 ) = -2.1028d = 9.50 x 0.5 x sin 2 ( 90 ° - 92.1028 ) + ( 1.270 - 0.9150 ) = -2.1028e = 9.50 x 0.5 x sin 2 ( 90 ° - 89.1153 ) + ( 1.270 - 1.2850 ) = 0.8847f = 9.50 x 0.5 x sin 2 ( 90 ° - 89.1153 ) + ( 1.270 - 1.2650 ) = 0.8847g = 14.00 x 0.5 x sin 2 ( 90 ° - 90.9486 ) + ( 1.270 - 0.8000 ) = -0.9486

∆H P2 a = 6.50 x 0.5 x sin 2 ( 90 ° - 94.1042 ) + ( 1.450 - 0.9050 ) = -4.1042b = 3.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.450 - 1.0250 ) = -3.5986c = 3.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.450 - 1.2950 ) = -3.5986d = 5.40 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.450 - 1.2150 ) = -3.5986e = 6.00 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.450 - 1.0000 ) = -3.5986f = 5.50 x 0.5 x sin 2 ( 90 ° - 93.5986 ) + ( 1.450 - 1.0100 ) = -3.5986g = 8.00 x 0.5 x sin 2 ( 90 ° - 88.9181 ) + ( 1.450 - 1.6780 ) = 1.0819

∆H P3 a = 3.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.150 ) = 1.3569b = 5.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.165 ) = 1.3569c = 4.50 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.255 ) = 1.3569d = 7.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.23 ) = 1.3569e = 5.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.26 ) = 1.3569f = 6.50 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.35 ) = 1.3569g = 6.00 x 0.5 x sin 2 ( 90 ° - 88.6431 ) + ( 1.450 - 1.275 ) = 1.3569

∆H P4 a = 3.00 x 0.5 x sin 2 ( 90 ° - 90.8681 ) + ( 1.240 - 1.110 ) = -0.8681b = 5.50 x 0.5 x sin 2 ( 90 ° - 90.8681 ) + ( 1.240 - 1.105 ) = -0.8681c = 3.50 x 0.5 x sin 2 ( 90 ° - 85.0319 ) + ( 1.240 - 1.52 ) = 4.9681d = 6.00 x 0.5 x sin 2 ( 90 ° - 85.0319 ) + ( 1.240 - 1.72 ) = 4.9681e = 7.00 x 0.5 x sin 2 ( 90 ° - 84.5278 ) + ( 1.240 - 1.9 ) = 5.4722f = 7.50 x 0.5 x sin 2 ( 90 ° - 82.4181 ) + ( 1.240 - 2.32 ) = 7.5819g = 7.00 x 0.5 x sin 2 ( 90 ° - 89.0597 ) + ( 1.240 - 1.23 ) = 0.9403


∆H P6 a = 4.50 x 0.5 x sin 2 ( 90 ° - 92.3014 ) + ( 1.360 - 0.910 ) = -2.3014b = 10.00 x 0.5 x sin 2 ( 90 ° - 92.3014 ) + ( 1.360 - 0.46 ) = -2.3014c = 3.80 x 0.5 x sin 2 ( 90 ° - 97.0472 ) + ( 1.360 - 0.985 ) = -7.0472d = 10.00 x 0.5 x sin 2 ( 90 ° - 94.0986 ) + ( 1.360 - 1.9 ) = -4.0986e = 8.00 x 0.5 x sin 2 ( 90 ° - 94.1000 ) + ( 1.360 - 0.89 ) = -4.1000f = 10.00 x 0.5 x sin 2 ( 90 ° - 94.1000 ) + ( 1.360 - 0.785 ) = -4.1000g = 15.00 x 0.5 x sin 2 ( 90 ° - 94.0986 ) + ( 1.360 - 0.535 ) = -4.0986






Perhitungan Tinggi Titik DetailRumus :

Pn det = Pn ± ∆H det

P0 a = #REF! + 0.1652 = #REF!b = #REF! + -4.9335 = #REF!c = #REF! + 0.1785 = #REF!d = #REF! + 0.1841 = #REF!e = #REF! + 0.1023 = #REF!f = #REF! + 0.1612 = #REF!g = #REF! + 0.1793 = #REF!

P1 a = 20.4000 + 0.1467 = 20.5467b = 20.4000 + 0.1733 = 20.5733c = 20.4000 + -0.0600 = 20.3400d = 20.4000 + 0.0067 = 20.4067e = 20.4000 + 0.1317 = 20.5317f = 20.4000 + 0.1517 = 20.5517g = 20.4000 + 0.2383 = 20.6383

P2 a = #REF! + 0.0810 = #REF!b = #REF! + 0.2371 = #REF!c = #REF! + -0.0329 = #REF!d = #REF! + -0.1033 = #REF!e = #REF! + 0.0741 = #REF!f = #REF! + 0.0955 = #REF!g = #REF! + -0.0770 = #REF!

P3 a = #REF! + 0.3710 = #REF!b = #REF! + 0.4034 = #REF!c = #REF! + 0.3015 = #REF!d = #REF! + 0.3857 = #REF!e = #REF! + 0.3084 = #REF!f = #REF! + 0.2539 = #REF!g = #REF! + 0.3170 = #REF!

P4 a = #REF! + 0.0846 = #REF!b = #REF! + 0.0517 = #REF!c = #REF! + 0.0220 = #REF!d = #REF! + 0.0376 = #REF!e = #REF! + 0.0045 = #REF!f = #REF! + -0.0991 = #REF!g = #REF! + 0.1249 = #REF!

P5 a = #REF! + -0.0664 = #REF!b = #REF! + -0.1042 = #REF!c = #REF! + -0.3588 = #REF!d = #REF! + 0.0244 = #REF!e = #REF! + -0.0163 = #REF!f = #REF! + -0.1113 = #REF!g = #REF! + -0.1513 = #REF!

P6 a = #REF! + 0.2694 = #REF!b = #REF! + 0.4988 = #REF!c = #REF! + -0.0877 = #REF!d = #REF! + -1.2529 = #REF!e = #REF! + -0.1005 = #REF!f = #REF! + -0.1381 = #REF!g = #REF! + -0.2444 = #REF!

P7 a = #REF! + -0.0151 = #REF!b = #REF! + 0.1525 = #REF!c = #REF! + -0.0587 = #REF!d = #REF! + -0.0879 = #REF!e = #REF! + -0.0661 = #REF!f = #REF! + -0.2036 = #REF!g = #REF! + -0.0799 = #REF!

P8 a = #REF! + 0.1926 = #REF!b = #REF! + -0.0390 = #REF!c = #REF! + 0.5057 = #REF!d = #REF! + 0.0877 = #REF!e = #REF! + -0.0542 = #REF!f = #REF! + 0.0710 = #REF!g = #REF! + 0.1317 = #REF!

P9 a = #REF! + 0.0729 = #REF!b = #REF! + 0.1225 = #REF!c = #REF! + 0.0696 = #REF!d = #REF! + 0.1593 = #REF!e = #REF! + 0.2582 = #REF!f = #REF! + 0.4579 = #REF!g = #REF! + 0.3093 = #REF!

P10 a = #REF! + -0.7453 = #REF!b = #REF! + -0.7318 = #REF!c = #REF! + 0.2281 = #REF!

d = #REF! + 0.2570 = #REF!e = #REF! + 0.3063 = #REF!f = #REF! + -0.0537 = #REF!g = #REF! + 0.0816 = #REF!

P11 a = #REF! + -0.1092 = #REF!b = #REF! + -0.3584 = #REF!c = #REF! + 0.1758 = #REF!d = #REF! + 0.2316 = #REF!e = #REF! + 0.3000 = #REF!f = #REF! + 0.3331 = #REF!g = #REF! + 0.2310 = #REF!

Perhitungan kemiringan lereng patok detailRumus :

\ Pn det = ∆ Hn det / D0n det x 100%

\P0 a = 0.1652 / 4.00 x 100% = 4.1311 %b = -4.9335 / 9.90 x 100% = -49.8336 %c = 0.1785 / 4.50 x 100% = 3.9672 %d = 0.1841 / 10.50 x 100% = 1.7529 %e = 0.1023 / 9.50 x 100% = 1.0770 %f = 0.1612 / 10.50 x 100% = 1.5357 %g = 0.1793 / 10.00 x 100% = 1.7928 %

\P1 a = 0.1467 / 5.00 x 100% = 2.9333 %b = 0.1733 / 10.00 x 100% = 1.7333 %c = -0.0600 / 6.00 x 100% = -1.0001 %d = 0.0067 / 9.50 x 100% = 0.0701 %e = 0.1317 / 9.50 x 100% = 1.3860 %f = 0.1517 / 9.50 x 100% = 1.5965 %g = 0.2383 / 14.00 x 100% = 1.7018 %

\P2 a = 0.0810 / 6.50 x 100% = 1.2460 %b = 0.2371 / 3.00 x 100% = 7.9024 %c = -0.0329 / 3.00 x 100% = -1.0976 %d = -0.1033 / 5.40 x 100% = -1.9124 %e = 0.0741 / 6.00 x 100% = 1.2357 %f = 0.0955 / 5.50 x 100% = 1.7357 %g = -0.0770 / 8.00 x 100% = -0.9621 %


\P4 a = 0.0846 / 3.00 x 100% = 2.8185 %b = 0.0517 / 5.50 x 100% = 0.9397 %c = 0.0220 / 3.50 x 100% = 0.6275 %d = 0.0376 / 6.00 x 100% = 0.6275 %e = 0.0045 / 7.00 x 100% = 0.0643 %f = -0.0991 / 7.50 x 100% = -1.3210 %g = 0.1249 / 7.00 x 100% = 1.7837 %

\P5 a = -0.0664 / 5.00 x 100% = -1.3270 %b = -0.1042 / 8.00 x 100% = -1.3020 %c = -0.3588 / 5.80 x 100% = -6.1857 %

d = 0.0244 / 9.50 x 100% = 0.2572 %e = -0.0163 / 8.50 x 100% = -0.1917 %f = -0.1113 / 8.50 x 100% = -1.3094 %g = -0.1513 / 8.50 x 100% = -1.7800 %

\P6 a = 0.2694 / 4.50 x 100% = 5.9876 %b = 0.4988 / 10.00 x 100% = 4.9876 %c = -0.0877 / 3.80 x 100% = -2.3076 %d = -1.2529 / 10.00 x 100% = -12.5290 %e = -0.1005 / 8.00 x 100% = -1.2564 %f = -0.1381 / 10.00 x 100% = -1.3814 %g = -0.2444 / 15.00 x 100% = -1.6290 %

\P7 a = -0.0151 / 4.20 x 100% = -0.3591 %b = 0.1525 / 7.50 x 100% = 2.0332 %c = -0.0587 / 5.00 x 100% = -1.1735 %d = -0.0879 / 8.00 x 100% = -1.0985 %e = -0.0661 / 10.00 x 100% = -0.6611 %f = -0.2036 / 5.00 x 100% = -4.0711 %g = -0.0799 / 5.00 x 100% = -1.5983 %

\P8 a = 0.1926 / 3.50 x 100% = 5.5027 %b = -0.0390 / 6.00 x 100% = -0.6497 %c = 0.5057 / 4.00 x 100% = 12.6420 %d = 0.0877 / 16.00 x 100% = 0.5482 %e = -0.0542 / 5.00 x 100% = -1.0830 %f = 0.0710 / 6.00 x 100% = 1.1836 %g = 0.1317 / 10.00 x 100% = 1.3170 %


\P10 a = -0.7453 / 6.00 x 100% = -12.4218 %b = -0.7318 / 10.50 x 100% = -6.9694 %c = 0.2281 / 4.00 x 100% = 5.7032 %d = 0.2570 / 9.00 x 100% = 2.8560 %e = 0.3063 / 8.00 x 100% = 3.8282 %f = -0.0537 / 8.00 x 100% = -0.6718 %g = 0.0816 / 2.00 x 100% = 4.0782 %

\P11 a = -0.1092 / 5.00 x 100% = -2.1844 %b = -0.3584 / 10.00 x 100% = -3.5844 %c = 0.1758 / 5.00 x 100% = 3.5156 %d = 0.2316 / 10.00 x 100% = 2.3156 %e = 0.3000 / 9.50 x 100% = 3.1577 %f = 0.3331 / 10.50 x 100% = 3.1727 %g = 0.2310 / 13.00 x 100% = 1.7771 %

Ketentuan dari asisten nilai alfa u!42 40 " = 120.7111

+ -180 = 179.0381

+ -180 = 186.7192

+ -180 = 290.2101

+ -180 = 265.5745

+ -180 = 278.1529

+ -180 = 285.3979

+ -180 = 363.1568

+ -180 = 344.9810

+ -180 = 446.4122

+ -180 = 445.6683

+ -180 = 456.5175 Controling Cabin

+ -180 = 480.7111 360.0000 96.5175= 120.7111 - 360.0000 0.0000


( ) cos )91.4569 ) = -1.4569 0.99967671 49.967790.4028 ) = -0.4028 0.99997529 20.999090.3833 ) = -0.3833 0.99997762 50.697789.5000 ) = 0.5000 0.99996192 100.492382.4236 ) = 7.5764 0.99126996 1.473988.7514 ) = 1.2486 0.99976256 57.4727

90°-γ (90°-γ

AS75

Khansa' Fatimah Az Zahrah: yang di dalam kotak biru ini harus 360!

AN76


90.8778 ) = -0.8778 0.99988265 30.492889.9903 ) = 0.0097 1 49.000088.4764 ) = 1.5236 0.99964645 49.4650

90.5944 ) = -0.5944 0.99994618 49.9946

89.4583 ) = 0.5417 0.99995531 57.994859.9800 ) = 30.0200 0.86585082 62.224991.4569 ) = -1.4569 0.99967671 49.9677

ΣDpn = 580.2755 mForgive me Tmank, kerja sama hanya batas sini sj,…. Selamat merumus…^_^ Good Luck!

AY116


A118


Controling CabinCongratulation ^_^

Controling CabinCongratulation ^_^

(90°-γ) 2 x (90°-γ) sin 2 x (90°-γ) -1.4569 -2.91388888889 -0.0508350349918705 -0.7709 m-0.4028 -0.80555555556 -0.0140591335580421 0.0224 m-0.3833 -0.76666666667 -0.0133804583010156 0.0758 m0.5000 1 0.0174524064372835 0.4720 m7.5764 15.15277777778 0.26139373924291 1.0730 m1.2486 2.497222222222 0.0435709520895016 1.7327 m-0.8778 -1.75555555556 -0.0306354305780255 -0.4272 m0.0097 0.019444444444 0.000339369570262402 -0.2617 m1.5236 3.047222222222 0.0531589921178068 -0.4043 m-0.5944 -1.18888888889 -0.0207485365493971 -0.8287 m0.5417 1.083333333333 0.0189066069900911 0.3783 m#REF! #REF! #REF! #REF! m

Σ∆Hn = #REF! m

#REF!#REF!#REF!#REF!#REF!#REF!#REF!#REF!#REF!#REF!#REF!#REF!

Y1 = -3.99 X1 = 122.8 ###Y2 = -33.9120 X2 = 164.4902 ###Y3 = -56.7583 X3 = 164.3092 ###Y4 = -111.5752 X4 = 157.0892 ###Y5 = -85.7139 X5 = 60.2305 ###Y6 = -85.9575 X6 = 58.7235 ###Y7 = -82.8713 X7 = 0.3714 ###Y8 = -77.4618 X8 = -29.8017 ###Y9 = -32.8539 X9 = -28.3484 ###Y10 = 10.5627 X10 = -42.4236 ###Y11 = 9.2859 X11 = 6.2028 ###Y0 = 8.5560 X0 = 62.5583 ###Y1 = -3.9900 X1 = 122.8000

GANTI INI SESUAI DENGAN DATA U!Beta de = 28 ° 45 5 " = 28.7514Beta de = 28 ° 45 5 " = 28.7514Beta de = 208 ° 45 5 " = 208.7514Beta de = 208 ° 45 5 " = 208.7514Beta de = 147 ° 21 55 " = 147.3653Beta de = 184 ° 37 40 " = 184.6278Beta de = 233 ° 41 0 " = 233.6833

Beta de = 90 ° 8 50 " = 90.1472Beta de = 90 ° 8 55 " = 90.1486Beta de = 270 ° 8 55 " = 270.1486Beta de = 270 ° 8 55 " = 270.1486Beta de = 326 ° 6 40 " = 326.1111Beta de = 351 ° 13 10 " = 351.2194Beta de = 334 ° 23 55 " = 334.3986





Beta de = 127 ° 0 0 " = 127.0000Beta de = 127 ° 0 0 " = 127.0000Beta de = 307 ° 0 0 " = 307.0000Beta de = 307 ° 0 0 " = 307.0000Beta de = 223 ° 0 0 " = 223.0000

AU350


AU358


Beta de = 247 ° 29 45 " = 247.4958Beta de = 265 ° 2 5 " = 265.0347






GANTI INI SESUAI DATA U!alfa a = 97 ° 45 15 " = 97.7542alfa b = 97 ° 45 15 " = 97.7542alfa c = 91 ° 4 10 " = 91.0694alfa d = 91 ° 4 10 " = 91.0694alfa e = 93 ° 13 10 " = 93.2194alfa f = 93 ° 13 10 " = 93.2194alfa g = 93 ° 13 10 " = 93.2194

alfa a = 92 ° 6 10 " = 92.1028alfa b = 92 ° 6 10 " = 92.1028alfa c = 92 ° 6 10 " = 92.1028alfa d = 92 ° 6 10 " = 92.1028alfa e = 89 ° 6 55 " = 89.1153alfa f = 89 ° 6 55 " = 89.1153alfa g = 90 ° 56 55 " = 90.9486


AU559







alfa a = 89 ° 59 25 " = 89.9903alfa b = 89 ° 59 25 " = 89.9903alfa c = 89 ° 59 25 " = 89.9903alfa d = 89 ° 59 25 " = 89.9903alfa e = 89 ° 59 25 " = 89.9903alfa f = 89 ° 59 25 " = 89.9903alfa g = 89 ° 59 25 " = 89.9903alfa a = 88 ° 40 10 " = 88.6694alfa b = 88 ° 40 10 " = 88.6694alfa c = 88 ° 40 10 " = 88.6694alfa d = 88 ° 40 10 " = 88.6694alfa e = 88 ° 40 10 " = 88.6694alfa f = 88 ° 40 10 " = 88.6694alfa g = 88 ° 40 10 " = 88.6694alfa a = 91 ° 6 5 " = 91.1014alfa b = 91 ° 6 5 " = 91.1014alfa c = 91 ° 6 5 " = 91.1014alfa d = 91 ° 6 5 " = 91.1014alfa e = 91 ° 6 5 " = 91.1014alfa f = 91 ° 6 5 " = 91.1014

alfa g = 91 ° 6 5 " = 91.1014alfa a = 90 ° 57 55 " = 90.9653alfa b = 90 ° 57 55 " = 90.9653alfa c = 90 ° 57 55 " = 90.9653alfa d = 90 ° 57 55 " = 90.9653alfa e = 90 ° 57 55 " = 90.9653alfa f = 90 ° 57 55 " = 90.9653alfa g = 90 ° 57 55 " = 90.9653

(90°-γ) 2 x (90°-γ) sin 2 x (90°-γ)

-7.7542 -15.5083333333333 -0.26737852762 = 0.1652 m alfa a = 97 ° 45 15-7.7542 -15.5083333333333 -0.26737852762 = -4.9335 alfa b = 97 ° 45 15-1.0694 -2.13888888888889 -0.03732198352 = 0.1785 alfa c = 91 ° 4 10

BI1063


-1.0694 -2.13888888888889 -0.03732198352 = 0.1841 alfa d = 91 ° 4 10-3.2194 -6.4388888888889 -0.11214341567 = 0.1023 alfa e = 93 ° 13 10-3.2194 -6.4388888888889 -0.11214341567 = 0.1612 alfa f = 93 ° 13 10-3.2194 -6.4388888888889 -0.11214341567 = 0.1793 alfa g = 93 ° 13 10

-2.1028 -4.20555555555555 -0.07333489912 = 0.1467 m alfa a = 92 ° 6 10-2.1028 -4.20555555555555 -0.07333489912 = 0.1733 alfa b = 92 ° 6 10-2.1028 -4.20555555555555 -0.07333489912 = -0.0600 alfa c = 92 ° 6 10-2.1028 -4.20555555555555 -0.07333489912 = 0.0067 alfa d = 92 ° 6 100.8847 1.76944444444445 0.030877722736 = 0.1317 alfa e = 89 ° 6 550.8847 1.76944444444445 0.030877722736 = 0.1517 alfa f = 89 ° 6 55-0.9486 -1.89722222222224 -0.03310672364 = 0.2383 alfa g = 90 ° 56 55

-4.1042 -8.20833333333331 -0.14277288931 = 0.0810 m alfa a = 94 ° 6 15-3.5986 -7.19722222222222 -0.12528513434 = 0.2371 alfa b = 93 ° 35 55-3.5986 -7.19722222222222 -0.12528513434 = -0.0329 alfa c = 93 ° 35 55-3.5986 -7.19722222222222 -0.12528513434 = -0.1033 alfa d = 93 ° 35 55-3.5986 -7.19722222222222 -0.12528513434 = 0.0741 alfa e = 93 ° 35 55-3.5986 -7.19722222222222 -0.12528513434 = 0.0955 alfa f = 93 ° 35 551.0819 2.16388888888889 0.037758008272 = -0.0770 alfa g = 88 ° 55 5

1.3569 2.71388888888887 0.047348587062 = 0.3710 m alfa a = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.4034 alfa b = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.3015 alfa c = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.3857 alfa d = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.3084 alfa e = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.2539 alfa f = 88 ° 38 351.3569 2.71388888888887 0.047348587062 = 0.3170 alfa g = 88 ° 38 35

-0.8681 -1.73611111111109 -0.03029621854 = 0.0846 m alfa a = 90 ° 52 5-0.8681 -1.73611111111109 -0.03029621854 = 0.0517 alfa b = 90 ° 52 54.9681 9.9361111111111 0.172549938913 = 0.0220 alfa c = 85 ° 1 554.9681 9.9361111111111 0.172549938913 = 0.0376 alfa d = 85 ° 1 555.4722 10.9444444444445 0.189857093252 = 0.0045 alfa e = 84 ° 31 407.5819 15.1638888888889 0.261580917448 = -0.0991 alfa f = 82 ° 25 50.9403 1.88055555555556 0.032815993489 = 0.1249 alfa g = 89 ° 3 35

0.9014 1.80277777777778 0.031459216487 = -0.0664 m alfa a = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = -0.1042 alfa b = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = -0.3588 alfa c = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = 0.0244 alfa d = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = -0.0163 alfa e = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = -0.1113 alfa f = 89 ° 5 550.9014 1.80277777777778 0.031459216487 = -0.1513 alfa g = 89 ° 5 55

-2.3014 -4.60277777777776 -0.08024724944 = 0.2694 m alfa a = 92 ° 18 5-2.3014 -4.60277777777776 -0.08024724944 = 0.4988 alfa b = 92 ° 18 5-7.0472 -14.0944444444444 -0.2435209692 = -0.0877 alfa c = 97 ° 2 50-4.0986 -8.19722222222222 -0.14258094783 = -1.2529 alfa d = 94 ° 5 55-4.1000 -8.19999999999999 -0.14262893371 = -0.1005 alfa e = 94 ° 6 0-4.1000 -8.19999999999999 -0.14262893371 = -0.1381 alfa f = 94 ° 6 0-4.0986 -8.19722222222222 -0.14258094783 = -0.2444 alfa g = 94 ° 5 55

1.0222 2.04444444444445 0.035674715478 = -0.0151 m alfa a = 88 ° 58 402.0222 4.04444444444445 0.070530264999 = 0.1525 alfa b = 87 ° 58 402.0222 4.04444444444445 0.070530264999 = -0.0587 alfa c = 87 ° 58 402.0222 4.04444444444445 0.070530264999 = -0.0879 alfa d = 87 ° 58 402.0236 4.04722222222222 0.070578625548 = -0.0661 alfa e = 87 ° 58 352.0236 4.04722222222222 0.070578625548 = -0.2036 alfa f = 87 ° 58 352.0194 4.03888888888889 0.070433543403 = -0.0799 alfa g = 87 ° 58 50

0.0097 0.0194444444444457 0.00033936957 = 0.1926 m alfa a = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = -0.0390 alfa b = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = 0.5057 alfa c = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = 0.0877 alfa d = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = -0.0542 alfa e = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = 0.0710 alfa f = 89 ° 59 250.0097 0.0194444444444457 0.00033936957 = 0.1317 alfa g = 89 ° 59 25

1.3306 2.6611111111111 0.046428454243 = 0.0729 m alfa a = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.1225 alfa b = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.0696 alfa c = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.1593 alfa d = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.2582 alfa e = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.4579 alfa f = 88 ° 40 101.3306 2.6611111111111 0.046428454243 = 0.3093 alfa g = 88 ° 40 10

-1.1014 -2.20277777777775 -0.03843625468 = -0.7453 m alfa a = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = -0.7318 alfa b = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = 0.2281 alfa c = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = 0.2570 alfa d = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = 0.3063 alfa e = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = -0.0537 alfa f = 91 ° 6 5-1.1014 -2.20277777777775 -0.03843625468 = 0.0816 alfa g = 91 ° 6 5

-0.9653 -1.93055555555557 -0.0336881755 = -0.1092 m alfa a = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = -0.3584 alfa b = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = 0.1758 alfa c = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = 0.2316 alfa d = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = 0.3000 alfa e = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = 0.3331 alfa f = 90 ° 57 55-0.9653 -1.93055555555557 -0.0336881755 = 0.2310 alfa g = 90 ° 57 55

15 " = 97.7542 p0 1.30015 " = 97.754210 " = 91.0694

10 " = 91.069410 " = 93.219410 " = 93.219410 " = 93.2194

10 " = 92.1028 p1 1.27010 " = 92.102810 " = 92.102810 " = 92.102855 " = 89.115355 " = 89.115355 " = 90.9486

15 " = 94.1042 p2 1.45055 " = 93.598655 " = 93.598655 " = 93.598655 " = 93.598655 " = 93.59865 " = 88.9181

35 " = 88.6431 p3 1.45035 " = 88.643135 " = 88.643135 " = 88.643135 " = 88.643135 " = 88.643135 " = 88.6431

5 " = 90.8681 p4 1.2405 " = 90.8681

55 " = 85.031955 " = 85.031940 " = 84.52785 " = 82.4181

35 " = 89.0597

55 " = 89.0986 p5 1.31055 " = 89.098655 " = 89.098655 " = 89.098655 " = 89.098655 " = 89.098655 " = 89.0986

5 " = 92.3014 p6 1.3605 " = 92.3014

50 " = 97.047255 " = 94.09860 " = 94.10000 " = 94.1000

55 " = 94.0986

40 " = 88.9778 p7 1.29040 " = 87.977840 " = 87.977840 " = 87.977835 " = 87.976435 " = 87.976450 " = 87.9806

25 " = 89.9903 p8 1.31025 " = 89.990325 " = 89.990325 " = 89.990325 " = 89.990325 " = 89.990325 " = 89.9903

10 " = 88.6694 p9 1.39010 " = 88.669410 " = 88.669410 " = 88.669410 " = 88.669410 " = 88.669410 " = 88.6694

5 " = 91.1014 p10 1.4005 " = 91.10145 " = 91.10145 " = 91.10145 " = 91.10145 " = 91.10145 " = 91.1014

55 " = 90.9653 p11 1.36055 " = 90.965355 " = 90.965355 " = 90.965355 " = 90.965355 " = 90.965355 " = 90.9653


197° 36' 40"= 197 +

36+

4060 3600

= 197 + 0.6 + 0.011= 197.6111


Σβ = β1 + β2 + β3 + … βn

β P0 = 191 ° 32 5 " = 191.5347= 204 ° 52 45 " = 204.8792= 239 ° 0 45 " = 239.0125= 188 ° 22 0 " = 188.3667= 284 ° 10 35 " = 284.1764= 156 ° 3 0 " = 156.0500= 193 ° 15 50 " = 193.2639= 187 ° 55 50 " = 187.9306= 258 ° 26 40 " = 258.4444= 162 ° 30 35 " = 162.5097= 282 ° 7 0 " = 282.1167= 179 ° 56 30 " = 179.9417 2520

-8.2264Σβ = 2528.2264 2528.2264


Σk == ( 12 + 2 ) . 180 ° - 2528.2264= 8.2264

Rumus :

∆β =Σkn

β P1β P2β P3β P4β P5β P6β P7β P8β P9β P10β P11

(n±2). 180°- Σβ


P26


F32


=8.226

12= 0.6855


βn = βn ± ∆β

βP0 = 191.5347 - 0.6855 = 190.8492 0.6855324= 204.8792 - 0.6855 = 204.1936 0.6855324= 239.0125 - 0.6855 = 238.3270 0.6855324= 188.3667 - 0.6855 = 187.6811 0.6855324= 284.1764 - 0.6855 = 283.4909 0.6855324= 156.0500 - 0.6855 = 155.3645 0.6855324= 193.2639 - 0.6855 = 192.5784 0.6855324= 187.9306 - 0.6855 = 187.2450 0.6855324= 258.4444 - 0.6855 = 257.7589 0.6855324= 162.5097 - 0.6855 = 161.8242 0.6855324= 282.1167 - 0.6855 = 281.4311 0.6855324= 179.9417 - 0.6855 = 179.2561 0.6855324



α0 = 190.8492 = 120.7111= 190.8492 + 204.1936 + -180 = 215.0428 α2 = 120.7111 + 238.3270 + -180 = 179.0381= 215.0428 + 238.3270 + -180 = 273.3698 = 179.0381 + 187.6811 + -180 = 186.7192= 273.3698 + 187.6811 + -180 = 281.0509 α4 = 186.7192 + 283.4909 + -180 = 290.2101= 281.0509 + 283.4909 + -180 = 384.5418 = 290.2101 + 155.3645 + -180 = 265.5745= 384.5418 + 155.3645 + -180 = 359.9063 α6 = 265.5745 + 192.5784 + -180 = 278.1529= 359.9063 + 192.5784 + -180 = 372.4846 = 278.1529 + 187.2450 + -180 = 285.3979= 372.4846 + 187.2450 + -180 = 379.7296 α8 = 285.3979 + 257.7589 + -180 = 363.1568= 379.7296 + 257.7589 + -180 = 457.4885 = 363.1568 + 161.8242 + -180 = 344.9810= 457.4885 + 161.8242 + -180 = 439.3127 α10 = 344.9810 + 281.4311 + -180 = 446.4122

βP1βP2βP3βP4βP5βP6βP7βP8βP9βP10βP11


α1α1α2 α3α3α4 α5α5α6 α7α7α8 α9α9

F40


D46


AD60


W63


Y63


= 439.3127 + 281.4311 + -180 = 540.7439 = 446.4122 + 179.2561 + -180 = 445.6683= 540.7439 + 179.2561 + -180 = 540.0000 α0 = 445.6683 + 190.8492 + -180 = 456.5175

α0 = 540.0000 + 190.8492 + -180 = 550.8492 = 456.5175 + 204.1936 + -180 = 480.7111= 480.7111 + - 360 = 120.7111 -

Congratulation


D0n = (Ba-Bb) x 100


= ( 1.945 - 1.445 ) x 100 = 50 m= ( 1.760 - 1.180 ) x 100 = 58 m

Do P11-P0 = ( 2.730 - 1.900 ) x 100 = 83 mDo P0-P1 = ( 1.050 - 0.550 ) x 100 = 50 m

ΣD0 = 601.2 m


Dpn = Do . ( )( ) cos

Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569 ) = -1.4569 0.999677Dp P1-P2 = 90 ° 24 10 " = 90.4028 21 x ( 90 - 90.4028 ) = -0.4028 0.999975Dp P2-P3 = 90 ° 23 0 " = 90.3833 50.7 x ( 90 - 90.3833 ) = -0.3833 0.999978Dp P3-P4 = 89 ° 30 0 " = 89.5000 100.5 x ( 90 - 89.5000 ) = 0.5000 0.999962Dp P4-P5 = 82 ° 25 25 " = 82.4236 1.5 x ( 90 - 82.4236 ) = 7.5764 0.99127Dp P5-P6 = 88 ° 45 5 " = 88.7514 57.5 x ( 90 - 88.7514 ) = 1.2486 0.999763Dp P6-P7 = 90 ° 52 40 " = 90.8778 30.5 x ( 90 - 90.8778 ) = -0.8778 0.999883Dp P7-P8 = 89 ° 59 25 " = 89.9903 49 x ( 90 - 89.9903 ) = 0.0097 1

α10 α11α11

α1

Do P9-P10Do P10-P11

cos 90°-γ90°-γ (90

cos²cos²cos²cos²cos²cos²cos²cos²

W75


AN76


T97


E103


Dp P8-P9 = 88 ° 28 35 " = 88.4764 49.5 x ( 90 - 88.4764 ) = 1.5236 0.999646= 90 ° 35 40 " = 90.5944 50 x ( 90 - 90.5944 ) = -0.5944 0.999946= 89 ° 27 30 " = 89.4583 58 x ( 90 - 89.4583 ) = 0.5417 0.999955

Dp P11-P0 = 59 ° 58 48 " = 59.9800 83 x ( 90 - 59.9800 ) = 30.0200 0.865851Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569 ) = -1.4569 0.999677



Dxn = Dpn .

Dx0-Dx1 = 49.9677 x sin 120.7111 = 42.9599= 20.9990 x sin 179.0381 = 0.3525= 50.6977 x sin 186.7192 = -5.9318= 100.492 x sin 290.2101 = -94.3053= 1.4739 x sin 265.5745 = -1.4695= 57.4727 x sin 278.1529 = -56.8918= 30.4928 x sin 285.3979 = -29.3983= 49.0000 x sin 363.1568 = 2.6984= 49.4650 x sin 344.9810 = -12.8183= 49.9946 x sin 446.4122 = 49.8966= 57.9948 x sin 445.6683 = 57.8292

Dx11-Dx0 = 62.2249 x sin 456.5175 = 61.8228ΣDxn = 14.7443


Dyn = Dpn

Dy0-Dy1 = 49.9677 x cos 120.7111 = -25.5190= 20.9990 x cos 179.0381 = -20.9960= 50.6977 x cos 186.7192 = -50.3495= 100.492 x cos 290.2101 = 34.7164= 1.4739 x cos 265.5745 = -0.1137= 57.4727 x cos 278.1529 = 8.1505= 30.4928 x cos 285.3979 = 8.0965

cos²Dp P9-P10 cos²Dp P10-P11 cos²

cos²cos²

sinαn

Dx1-Dx2Dx2-Dx3Dx3-Dx4Dx4-Dx5Dx5-Dx6Dx6-Dx7Dx7-Dx8Dx8-Dx9Dx9-Dx10Dx10-Dx11

.cos αn

Dy1-Dy2Dy2-Dy3Dy3-Dy4Dy4-Dy5Dy5-Dy6Dy6-Dy7

= 49.0000 x cos 363.1568 = 48.9256= 49.4650 x cos 344.9810 = 47.7753= 49.9946 x cos 446.4122 = 3.1286= 57.9948 x cos 445.6683 = 4.3804

Dy11-Dy0 = 62.2249 x cos 456.5175 = -7.0629ΣDyn = 51.1322


δDxn =Dpn

x ΣDxΣDp

δDx0 = ( 49.9677 / 580.2755 ) x 14.7443 = 1.2696δDx1 = ( 20.9990 / 580.2755 ) x 14.7443 = 0.5336δDx2 = ( 50.6977 / 580.2755 ) x 14.7443 = 1.2882δDx3 = ( 100.4923 / 580.2755 ) x 14.7443 = 2.5534δDx4 = ( 1.4739 / 580.2755 ) x 14.7443 = 0.0375δDx5 = ( 57.4727 / 580.2755 ) x 14.7443 = 1.4603δDx6 = ( 30.4928 / 580.2755 ) x 14.7443 = 0.7748δDx7 = ( 49.0000 / 580.2755 ) x 14.7443 = 1.2450δDx8 = ( 49.4650 / 580.2755 ) x 14.7443 = 1.2569δDx9 = ( 49.9946 / 580.2755 ) x 14.7443 = 1.2703δDx10 = ( 57.9948 / 580.2755 ) x 14.7443 = 1.4736δDx11 = ( 62.2249 / 580.2755 ) x 14.7443 = 1.5811 Controling Cabin

ΣδDx = 14.7443 Congratulation ^_^


δDyn =Dpn

x ΣDyΣDp

δDy0 = ( 49.9677 / 580.2755217 ) x 51.1322 = 4.4030δDy1 = ( 20.9990 / 580.2755217 ) x 51.1322 = 1.8504δDy2 = ( 50.6977 / 580.2755217 ) x 51.1322 = 4.4673δDy3 = ( 100.4923 / 580.2755217 ) x 51.1322 = 8.8551δDy4 = ( 1.4739 / 580.2755217 ) x 51.1322 = 0.1299δDy5 = ( 57.4727 / 580.2755217 ) x 51.1322 = 5.0643δDy6 = ( 30.4928 / 580.2755217 ) x 51.1322 = 2.6869

Dy7-Dy8Dy8-Dy9Dy9-Dy10Dy10-Dy11

δDy7 = ( 49.0000 / 580.2755217 ) x 51.1322 = 4.3177δDy8 = ( 49.4650 / 580.2755217 ) x 51.1322 = 4.3587δDy9 = ( 49.9946 / 580.2755217 ) x 51.1322 = 4.4054δDy10 = ( 57.9948 / 580.2755217 ) x 51.1322 = 5.1103δDy11 = ( 62.2249 / 580.2755217 ) x 51.1322 = 5.4831 Controling Cabin




Rumus :∆Hn = D0n 1/

(90°-γ) 2 x (90°-γ) sin∆H P0-P1 = 50 x 0.5 sin 2 ( 90 ° - 91.4569 ) + ( 1.300 - 0.800 ) = -1.4569 -2.91388889 -0.05083503499∆H P1-P2 = 21 x 0.5 sin2 ( 90 ° - 90.4028 ) + ( 1.270 - 1.100 ) = -0.4028 -0.80555556 -0.01405913356∆H P2-P3 = 50.7 x 0.5 sin 2 ( 90 ° - 90.3833 ) + ( 1.450 - 1.035 ) = -0.3833 -0.76666667 -0.0133804583∆H P3-P4 = 100.5 x 0.5 sin 2 ( 90 ° - 89.5000 ) + ( 1.450 - 1.855 ) = 0.5000 1 0.017452406437∆H P4-P5 = 1.5 x 0.5 sin 2 ( 90 ° - 82.4236 ) + ( 1.240 - 0.363 ) = 7.5764 15.15277778 0.261393739243∆H P5-P6 = 57.5 x 0.5 sin 2 ( 90 ° - 88.7514 ) + ( 1.310 - 0.830 ) = 1.2486 2.497222222 0.04357095209∆H P6-P7 = 30.5 x 0.5 sin 2 ( 90 ° - 90.8778 ) + ( 1.360 - 1.320 ) = -0.8778 -1.75555556 -0.03063543058∆H P7-P8 = 49 x 0.5 sin 2 ( 90 ° - 89.9903 ) + ( 1.290 - 1.560 ) = 0.0097 0.019444444 0.00033936957∆H P8-P9 = 49.5 x 0.5 sin 2 ( 90 ° - 88.4764 ) + ( 1.310 - 3.030 ) = 1.5236 3.047222222 0.053158992118∆H P9-P10 = 50 x 0.5 sin 2 ( 90 ° - 90.5944 ) + ( 1.390 - 1.700 ) = -0.5944 -1.18888889 -0.02074853655∆H P10-P11 = 58 x 0.5 sin 2 ( 90 ° - 89.4583 ) + ( 1.400 - 1.570 ) = 0.5417 1.083333333 0.01890660699∆H P11-P0 = 83 x 0.5 sin 2 ( 90 ° - 59.9800 ) + ( 1.360 - 2.325 ) = 30.0200 60.04 0.866374258561


δ∆H =Σ∆Hn

n

=36.0509

12= 3.004243



sin 2 (90°-γ) + (Tpswt - Bt)


X1 = 122.8X2 = 122.8 + 42.9599 - 1.2696 = 164.4902X3 = 164.4902 + 0.3525 - 0.5336 = 164.3092X4 = 164.3092 + -5.9318 - 1.2882 = 157.0892X5 = 157.089196 + -94.3053 - 2.5534 = 60.2305X6 = 60.230511 + -1.4695 - 0.0375 = 58.7235X7 = 58.7235302 + -56.8918 - 1.4603 = 0.3714X8 = 0.37137204 + -29.3983 - 0.7748 = -29.8017X9 = -29.8017263 + 2.6984 - 1.2450 = -28.3484X10 = -28.3483813 + -12.8183 - 1.2569 = -42.4236X11 = -42.4235551 + 49.8966 - 1.2703 = 6.2028X0 = 6.20275757 + 57.8292 - 1.4736 = 62.5583 Controling cabinX1 = 62.5583 + 61.8228 - 1.5811 = 122.8000 Congratulation^_^



Y1 = -3.99Y2 = -3.99 + -25.5190 - 4.4030 = -33.9120Y3 = -33.9120 + -20.9960 - 1.8504 = -56.7583Y4 = -56.7583 + -50.3495 - 4.4673 = -111.5752Y5 = -111.5752 + 34.7164 - 8.8551 = -85.7139Y6 = -85.7139 + -0.1137 - 0.1299 = -85.9575Y7 = -85.9575 + 8.1505 - 5.0643 = -82.8713Y8 = -82.8713 + 8.0965 - 2.6869 = -77.4618Y9 = -77.4618 + 48.9256 - 4.3177 = -32.8539Y10 = -32.8539 + 47.7753 - 4.3587 = 10.5627Y11 = 10.5627 + 3.1286 - 4.4054 = 9.2859Y12 = 9.2859 + 4.3804 - 5.1103 = 8.5560 Controling cabinY1 = 8.5560 + -7.0629 - 5.4831 = -3.9900 Congratulation^_^


\Pn = ∆Hn / D0n x 100 %

\P0-1 = -0.7709 / 50 x 100 % = -1.54175175 %\P1-2 = 0.0224 / 21 x 100 % = 0.106567132 %\P2-3 = 0.0758 / 50.7 x 100 % = 0.149517519 %\P2-4 = 0.4720 / 100.5 x 100 % = 0.469635247 %\P4-5 = 1.0730 / 1.5 x 100 % = 71.53635363 %\P5-6 = 1.7327 / 57.5 x 100 % = 3.013330213 %\P6-7 = -0.4272 / 30.5 x 100 % = -1.40062399 %\P7-8 = -0.2617 / 49 x 100 % = -0.53405193 %\P8-9 = -0.4043 / 49.5 x 100 % = -0.81679787 %\P9-10 = -0.8287 / 50 x 100 % = -1.65742683 %\P10-11 = 0.3783 / 58 x 100 % = 0.652226901 %\P11-0 = 34.9895 / 83 x 100 % = 42.15606233 %


Pn = Pn-1 ± ∆Hn-1 ± δ∆H

P1 = 20.4000P2 = 20.4000 + -0.7709 + 3.0042 = 22.6334P3 = 22.6334 + 0.0224 + 3.0042 = 25.6600P4 = 25.6600 + 0.0758 + 3.0042 = 28.7400P5 = 28.7400 + 0.4720 + 3.0042 = 32.2163P6 = 32.2163 + 1.0730 + 3.0042 = 36.2936P7 = 36.2936 + 1.7327 + 3.0042 = 41.0305P8 = 41.0305 + -0.4272 + 3.0042 = 43.6075P9 = 43.6075 + -0.2617 + 3.0042 = 46.3501P10 = 46.3501 + -0.4043 + 3.0042 = 48.9500P11 = 48.9500 + -0.8287 + 3.0042 = 51.1255P0 = 51.1255 + 0.3783 + 3.0042 = 54.5081P1 = 54.5081 + 34.9895 + 3.0042 = 92.5018

PROFIL MELINTANG


α0 -> a =b =


c =e =f =g =

α1 -> a =b =c =e =f =g =

α2 -> a =b =c =e =f =g =

α3 -> a =b =c =e =f =g =

α4 -> a =b =c =e =f =g =

α5 -> a =b =c =e =f =g =

α6 -> a =b =c =e =f =g =

α7 -> a =b =c =e =f =g =

α8 -> a =b =c =e =f =g =

α9 -> a =b =c =e =f =g =

α10 -> a =b =c =e =f =g =

α11 -> a =b =c =

e =f =g =

α12 -> a =b =c =e =f =g =

α13 -> a =b =c =e =f =g =

Perhitungan Jarak Optis Titik DetailRumus :

D0 det = (Ba-Bb) x 100

α0 -> a = (### - ### ) x 100 =b = (### - ### ) x 100 =c = (### - ### ) x 100 =d = (### - ### ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α1 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α2 -> a = ( - ) x 100 =

b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =e = (### - ### ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α3 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α4 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α5 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α6 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =d = (### - ### ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α7 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =e = ( - ) x 100 =

f = ( - ) x 100 =g = ( - ) x 100 =

α8 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α9 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α10 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α11 -> a = ( - ) x 100 =b = ( - ) x 100 =c = ( - ) x 100 =e = ( - ) x 100 =f = ( - ) x 100 =g = ( - ) x 100 =

α12 -> a = ( - ) x 111 =b = ( - ) x 111 =c = ( - ) x 111 =e = ( - ) x 111 =f = ( - ) x 111 =g = ( - ) x 111 =

α13 -> a = ( - ) x 112 =

b = ( - ) x 112 =c = ( - ) x 112 =e = ( - ) x 112 =f = ( - ) x 112 =g = ( - ) x 112 =

Ketentuan dari asisten nilai alfa u!120.7111

Controling Cabin360.0000 96.5175360.0000 0.0000


)0.999677 49.96770.999975 20.99900.999978 50.69770.999962 100.49230.99127 1.4739

0.999763 57.47270.999883 30.4928

1 49.0000

(90°-γ

AS75


0.999646 49.46500.999946 49.99460.999955 57.99480.865851 62.22490.999677 49.9677


AY116


A118


2 x (90°-γ) -0.05083503499 -0.7709 m-0.01405913356 0.0224 m-0.0133804583 0.0758 m

0.017452406437 0.4720 m0.261393739243 1.0730 m0.04357095209 1.7327 m-0.03063543058 -0.4272 m0.00033936957 -0.2617 m

0.053158992118 -0.4043 m-0.02074853655 -0.8287 m0.01890660699 0.3783 m

0.866374258561 34.9895 mΣ∆Hn = 36.0509 m

Konversi ke bentuk decimal degreeDari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degreeContoh:

197° 36' 40"= 197 +

36+

4060 3600

= 197 + 0.6 + 0.011= 197.611111


Σβ = β1 + β2 + β3 + … βn

β P0 = 191 ° 32 5 " = 191.5347= 204 ° 52 45 " = 204.8792= 239 ° 0 45 " = 239.0125= 188 ° 22 0 " = 188.3667= 284 ° 10 35 " = 284.1764= 156 ° 3 0 " = 156.0500= 193 ° 15 50 " = 193.2639= 187 ° 55 50 " = 187.9306= 258 ° 26 40 " = 258.4444= 162 ° 30 35 " = 162.5097= 282 ° 7 0 " = 282.1167= 179 ° 56 30 " = 179.9417 2520

-8.2264Σβ = 2528.2264 2528.2264


Σk == ( 12 + 2 ) . 180 ° - 2528.2264= 8.2264

Rumus :

∆β =Σkn

=8.226

β P1β P2β P3β P4β P5β P6β P7β P8β P9β P10β P11

(n±2). 180°- Σβ


P25


F31


= 12= 0.6855


βn = βn ± ∆β

βP0 = 191.5347 - 0.6855 = 190.8492 0.6855324= 204.8792 - 0.6855 = 204.1936 0.6855324= 239.0125 - 0.6855 = 238.3270 0.6855324= 188.3667 - 0.6855 = 187.6811 0.6855324= 284.1764 - 0.6855 = 283.4909 0.6855324= 156.0500 - 0.6855 = 155.3645 0.6855324= 193.2639 - 0.6855 = 192.5784 0.6855324= 187.9306 - 0.6855 = 187.2450 0.6855324= 258.4444 - 0.6855 = 257.7589 0.6855324= 162.5097 - 0.6855 = 161.8242 0.6855324= 282.1167 - 0.6855 = 281.4311 0.6855324= 179.9417 - 0.6855 = 179.2561 0.6855324



α0 = 190.8492 α0 = 94.4764= 190.8492 + 204.1936 + -180 = 215.0428 α1 = 94.4764 + 238.3270 + -180 = 152.8034= 215.0428 + 238.3270 + -180 = 273.3698 α2 = 152.8034 + 187.6811 + -180 = 160.4845= 273.3698 + 187.6811 + -180 = 281.0509 α3 = 160.4845 + 283.4909 + -180 = 263.9753= 281.0509 + 283.4909 + -180 = 384.5418 α4 = 263.9753 + 155.3645 + -180 = 239.3398= 384.5418 + 155.3645 + -180 = 359.9063 α5 = 239.3398 + 192.5784 + -180 = 251.9182= 359.9063 + 192.5784 + -180 = 372.4846 α6 = 251.9182 + 187.2450 + -180 = 259.1632= 372.4846 + 187.2450 + -180 = 379.7296 α7 = 259.1632 + 257.7589 + -180 = 336.9221= 379.7296 + 257.7589 + -180 = 457.4885 α8 = 336.9221 + 161.8242 + -180 = 318.7463= 457.4885 + 161.8242 + -180 = 439.3127 α9 = 318.7463 + 281.4311 + -180 = 420.1774= 439.3127 + 281.4311 + -180 = 540.7439 α10 = 420.1774 + 179.2561 + -180 = 419.4336

βP1βP2βP3βP4βP5βP6βP7βP8βP9βP10βP11


α1α2α3α4α5α6α7α8α9α10

F39


D45


AD59


A62

Khansa' Fatimah Az Zahrah: area terlarang, nd prlu ditls

W62


Y62


= 540.7439 + 179.2561 + -180 = 540.0000 α11 = 419.4336 + 190.8492 + -180 = 430.2828α0 = 540.0000 + 190.8492 + -180 = 550.8492 α0 = 430.2828 + 204.1936 + -180 = 454.4764

= 454.4764 + - 360 = 94.4764


D0n = (Ba-Bb) x 100


= ( 1.945 - 1.445 ) x 100 = 50 m= ( 1.760 - 1.180 ) x 100 = 58 m

Do P11-P0 = ( 2.730 - 1.900 ) x 100 = 83 mDo P0-P1 = ( 1.050 - 0.550 ) x 100 = 50 m

ΣD0 = 601.2 m


Dpn = Do . ( )( ) cos

Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569 ) = -1.4569 0.999677Dp P1-P2 = 90 ° 24 10 " = 90.4028 21 x ( 90 - 90.4028 ) = -0.4028 0.999975Dp P2-P3 = 90 ° 23 0 " = 90.3833 50.7 x ( 90 - 90.3833 ) = -0.3833 0.999978Dp P3-P4 = 89 ° 30 0 " = 89.5000 100.5 x ( 90 - 89.5000 ) = 0.5000 0.999962Dp P4-P5 = 82 ° 25 25 " = 82.4236 1.5 x ( 90 - 82.4236 ) = 7.5764 0.99127Dp P5-P6 = 88 ° 45 5 " = 88.7514 57.5 x ( 90 - 88.7514 ) = 1.2486 0.999763Dp P6-P7 = 90 ° 52 40 " = 90.8778 30.5 x ( 90 - 90.8778 ) = -0.8778 0.999883Dp P7-P8 = 89 ° 59 25 " = 89.9903 49 x ( 90 - 89.9903 ) = 0.0097 1Dp P8-P9 = 88 ° 28 35 " = 88.4764 49.5 x ( 90 - 88.4764 ) = 1.5236 0.999646

α11

Do P9-P10Do P10-P11

cos² 90°-γ90°-γ

cos²cos²cos²cos²cos²cos²cos²cos²cos²

W74


AN75


T96


E102


= 90 ° 35 40 " = 90.5944 50 x ( 90 - 90.5944 ) = -0.5944 0.999946= 89 ° 27 30 " = 89.4583 58 x ( 90 - 89.4583 ) = 0.5417 0.999955

Dp P11-P0 = 59 ° 58 48 " = 59.9800 83 x ( 90 - 59.9800 ) = 30.0200 0.865851Dp P0-P1 = 91 ° 27 25 " = 91.4569 50 x ( 90 - 91.4569 ) = -1.4569 0.999677



Dxn = Dpn .

Dx0-Dx1 = 49.9677 x sin 94.4764 = 49.8153= 20.9990 x sin 152.8034 = 9.5975= 50.6977 x sin 160.4845 = 16.9362= 100.4923 x sin 263.9753 = -99.9373= 1.4739 x sin 239.3398 = -1.2679= 57.4727 x sin 251.9182 = -54.6344= 30.4928 x sin 259.1632 = -29.9491= 49.0000 x sin 336.9221 = -19.2071= 49.4650 x sin 318.7463 = -32.6169= 49.9946 x sin 420.1774 = 43.3738= 57.9948 x sin 419.4336 = 49.9359

Dx11-Dx0 = 62.2249 x sin 430.2828 = 58.5766ΣDxn = -9.3775


Dyn = Dpn

Dy0-Dy1 = 49.9677 x cos 94.4764 = -3.8999= 20.9990 x cos 152.8034 = -18.6774= 50.6977 x cos 160.4845 = -47.7852= 100.4923 x cos 263.9753 = -10.5473= 1.4739 x cos 239.3398 = -0.7516= 57.4727 x cos 251.9182 = -17.8381= 30.4928 x cos 259.1632 = -5.7330

Dp P9-P10 cos²Dp P10-P11 cos²

cos²cos²

sinαn

Dx1-Dx2Dx2-Dx3Dx3-Dx4Dx4-Dx5Dx5-Dx6Dx6-Dx7Dx7-Dx8Dx8-Dx9Dx9-Dx10Dx10-Dx11

.cos αn

Dy1-Dy2Dy2-Dy3Dy3-Dy4Dy4-Dy5Dy5-Dy6Dy6-Dy7

= 49.0000 x cos 336.9221 = 45.0787= 49.4650 x cos 318.7463 = 37.1877= 49.9946 x cos 420.1774 = 24.8631= 57.9948 x cos 419.4336 = 29.4925

Dy11-Dy0 = 62.2249 x cos 430.2828 = 20.9934ΣDyn = 52.3828


δDxn =Dpn

x ΣDxΣDp

δDx0 = ( 49.9677 / 580.2755 ) x -9.3775 = -0.8075δDx1 = ( 20.9990 / 580.2755 ) x -9.3775 = -0.3394δDx2 = ( 50.6977 / 580.2755 ) x -9.3775 = -0.8193δDx3 = ( 100.4923 / 580.2755 ) x -9.3775 = -1.6240δDx4 = ( 1.4739 / 580.2755 ) x -9.3775 = -0.0238δDx5 = ( 57.4727 / 580.2755 ) x -9.3775 = -0.9288δDx6 = ( 30.4928 / 580.2755 ) x -9.3775 = -0.4928δDx7 = ( 49.0000 / 580.2755 ) x -9.3775 = -0.7919δDx8 = ( 49.4650 / 580.2755 ) x -9.3775 = -0.7994δDx9 = ( 49.9946 / 580.2755 ) x -9.3775 = -0.8079δDx10 = ( 57.9948 / 580.2755 ) x -9.3775 = -0.9372δDx11 = ( 62.2249 / 580.2755 ) x -9.3775 = -1.0056 Controling Cabin

ΣδDx = -9.3775 Congratulation ^_^


δDyn =Dpn

x ΣDyΣDp

δDy0 = ( 49.9677 / 580.2755217 ) x 52.3828 = 4.5107δDy1 = ( 20.9990 / 580.2755217 ) x 52.3828 = 1.8956δDy2 = ( 50.6977 / 580.2755217 ) x 52.3828 = 4.5766δDy3 = ( 100.4923 / 580.2755217 ) x 52.3828 = 9.0717δDy4 = ( 1.4739 / 580.2755217 ) x 52.3828 = 0.1331δDy5 = ( 57.4727 / 580.2755217 ) x 52.3828 = 5.1882δDy6 = ( 30.4928 / 580.2755217 ) x 52.3828 = 2.7527

Dy7-Dy8Dy8-Dy9Dy9-Dy10Dy10-Dy11

δDy7 = ( 49.0000 / 580.2755217 ) x 52.3828 = 4.4233δDy8 = ( 49.4650 / 580.2755217 ) x 52.3828 = 4.4653δDy9 = ( 49.9946 / 580.2755217 ) x 52.3828 = 4.5131δDy10 = ( 57.9948 / 580.2755217 ) x 52.3828 = 5.2353δDy11 = ( 62.2249 / 580.2755217 ) x 52.3828 = 5.6172 Controling Cabin





(90°-γ) 2 x (90°-γ) ∆H P0-P1 = 50 x 0.5 sin 2 ( 90 ° - 91.4569 ) + ( 1.300 - 0.800 ) = -1.4569 -2.91388889∆H P1-P2 = 21 x 0.5 sin2 ( 90 ° - 90.4028 ) + ( 1.270 - 1.100 ) = -0.4028 -0.80555556∆H P2-P3 = 50.7 x 0.5 sin 2 ( 90 ° - 90.3833 ) + ( 1.450 - 1.035 ) = -0.3833 -0.76666667∆H P3-P4 = 100.5 x 0.5 sin 2 ( 90 ° - 89.5000 ) + ( 1.450 - 1.855 ) = 0.5000 1∆H P4-P5 = 1.5 x 0.5 sin 2 ( 90 ° - 82.4236 ) + ( 1.240 - 0.363 ) = 7.5764 15.15277778∆H P5-P6 = 57.5 x 0.5 sin 2 ( 90 ° - 88.7514 ) + ( 1.310 - 0.830 ) = 1.2486 2.497222222∆H P6-P7 = 30.5 x 0.5 sin 2 ( 90 ° - 90.8778 ) + ( 1.360 - 1.320 ) = -0.8778 -1.75555556∆H P7-P8 = 49 x 0.5 sin 2 ( 90 ° - 89.9903 ) + ( 1.290 - 1.560 ) = 0.0097 0.019444444∆H P8-P9 = 49.5 x 0.5 sin 2 ( 90 ° - 88.4764 ) + ( 1.310 - 3.030 ) = 1.5236 3.047222222∆H P9-P10 = 50 x 0.5 sin 2 ( 90 ° - 90.5944 ) + ( 1.390 - 1.700 ) = -0.5944 -1.18888889∆H P10-P11 = 58 x 0.5 sin 2 ( 90 ° - 89.4583 ) + ( 1.400 - 1.570 ) = 0.5417 1.083333333∆H P11-P0 = 83 x 0.5 sin 2 ( 90 ° - 59.9800 ) + ( 1.360 - 2.325 ) = 30.0200 60.04


δ∆H =Σ∆Hn

n

=36.0509

12= 3.00424345



sin 2 (90°-γ) + (Tpswt - Bt)


X1 = 122.8X2 = 122.8 + 49.8153 - -0.8075 = 173.4228X3 = 173.4228 + 9.5975 - -0.3394 = 183.3596X4 = 183.3596 + 16.9362 - -0.8193 = 201.1151X5 = 201.115072 + -99.9373 - -1.6240 = 102.8018X6 = 102.801758 + -1.2679 - -0.0238 = 101.5577X7 = 101.557697 + -54.6344 - -0.9288 = 47.8521X8 = 47.852116 + -29.9491 - -0.4928 = 18.3958X9 = 18.395839 + -19.2071 - -0.7919 = -0.0194X10 = -0.01942856 + -32.6169 - -0.7994 = -31.8370X11 = -31.8370026 + 43.3738 - -0.8079 = 12.3447X0 = 12.3447421 + 49.9359 - -0.9372 = 63.2178 Controling cabinX1 = 63.2178 + 58.5766 - -1.0056 = 122.8000 Congratulation^_^

Perhitungan koordinat vertikal patok utama (yn)Rumus


Y1 = -3.99Y2 = -3.99 + -3.8999 - 4.5107 = -12.4006Y3 = -12.4006 + -18.6774 - 1.8956 = -32.9736Y4 = -32.9736 + -47.7852 - 4.5766 = -85.3354Y5 = -85.3354 + -10.5473 - 9.0717 = -104.9544Y6 = -104.9544 + -0.7516 - 0.1331 = -105.8390Y7 = -105.8390 + -17.8381 - 5.1882 = -128.8653Y8 = -128.8653 + -5.7330 - 2.7527 = -137.3510Y9 = -137.3510 + 45.0787 - 4.4233 = -96.6957Y10 = -96.6957 + 37.1877 - 4.4653 = -63.9733Y11 = -63.9733 + 24.8631 - 4.5131 = -43.6234Y12 = -43.6234 + 29.4925 - 5.2353 = -19.3662 Controling cabinY1 = -19.3662 + 20.9934 - 5.6172 = -3.9900 Congratulation^_^

Ketentuan dari asisten nilai alfa u!94.4764

Controling Cabin360.0000 70.2828

- 360.0000 0.0000Congratulation 0.0000

)0.999677 49.96770.999975 20.99900.999978 50.69770.999962 100.49230.99127 1.4739

0.999763 57.47270.999883 30.4928

1 49.00000.999646 49.4650

(90°-γ

AS74


0.999946 49.99460.999955 57.99480.865851 62.22490.999677 49.9677


AY115


A117


sin 2 x (90°-γ) -0.05083503499 -0.7709 m-0.01405913356 0.0224 m-0.0133804583 0.0758 m

0.017452406437 0.4720 m0.261393739243 1.0730 m0.04357095209 1.7327 m-0.03063543058 -0.4272 m0.00033936957 -0.2617 m

0.053158992118 -0.4043 m-0.02074853655 -0.8287 m0.01890660699 0.3783 m

0.866374258561 34.9895 mΣ∆Hn = 36.0509 m

Konversi ke bentuk decimal degreeDari semua hasil data sudut pengukuran praktikum di lapangan telah dikonversi ke dalam desimal degreeContoh:197° 36' 40"

= 197 +###

+40

### 3600= 197 + 0.6 + 0.011= 197.611


Σβ = β1 + β2 + β3 + … βn

= 94 ° 28 35 " = 94.4764= 204 ° 52 45 " = 204.879= 239 ° 0 45 " = 239.013= 188 ° 22 0 " = 188.367= 284 ° 10 35 " = 284.176= 156 ° 3 0 " = 156.05= 193 ° 15 50 " = 193.264= 187 ° 55 50 " = 187.931= 258 ° 26 40 " = 258.444= 162 ° 30 25 " = 162.507= 282 ° 7 0 " = 282.117= 179 ° 59 30 " = 179.992

Σβ = 2431.22


Σk == ( ### + 2 ) . 180 ° - 2431.22= 88.7847

PerencanaanElevasi levelZ = 20.4000

P0-1P0 = 24.4072p1 = 24.7842

β P0

β P1

β P2

β P3

β P4

β P5

β P6

β P7

β P8

β P9

β P10

β P11

(n±2). 180°- Σβ

P0-Z = 4.0072 mP1-Z = 4.3842 m

A = 1/2 ( 4.0072 + 4.3842 ) = 4.1957V = 4.1957 x 50 = 209.785


P1-2P1 = 20.4p2 = 20.4022

P1-Z = 0.0000 mP2-Z = 0.0022 m

A = 1/2 ( 0 + 0.0022 ) = 0.0011V = 0.0011 x 50 = 0.055


P2-3P2 = 20.4022p3 = 20.478

P2-Z = 0.0022 mP3-Z = 0.0780 m

A = 1/2 ( 0.0022 + 0.078 ) = 0.0401V = 0.0401 x 50 = 2.005


P3-4P3 = 20.478p4 = 20.95

P3-Z = 0.0780 m

m²m³

m²m³

m²m³

P4-Z = 0.5500 m

A = 1/2 ( 0.078 + 0.55 ) = 0.314V = 0.314 x 50 = 15.7


P4-5P4 = 20.95p5 = 22.023

P4-Z = 0.5500 mP5-Z = 1.6230 m

A = 1/2 ( 0.55 + 1.623 ) = 1.0865V = 1.0865 x 50 = 54.325


P5-6P5 = 22.023p6 = 26.769

P5-Z = 1.6230 mP6-Z = 6.3690 m

A = 1/2 ( 1.623 + 6.369 ) = 3.996V = 3.996 x 50 = 199.8


P6-7P6 = 26.769p7 = 26.769

P6-Z = 6.3690 m

m²m³

m²m³

m²m³

P7-Z = 6.3690 m

A = 1/2 ( 6.369 + 6.369 ) = 6.369V = 6.369 x 50 = 318.45


P7-8p7 = 26.769p8 = 25.8078

P7-Z = 6.3690 mP8-Z = 5.4078 m

A = 1/2 ( 6.369 + 5.4078 ) = 5.8884V = 5.8884 x 50 = 294.42


P8-9p8 = 25.8078p9 = 24.991

P8-Z = 5.4078 mP9-Z = 4.5910 m

A = 1/2 ( 5.4078 + 4.591 ) = 4.9994V = 4.9994 x 50 = 249.97


P9-10p9 = 24.991p10 = 23.3336

P9-Z = 4.5910 m

m²m³

m²m³

m²m³

P10-Z = 2.9336 m

A = 1/2 ( 4.591 + 2.9336 ) = 3.7623V = 3.7623 x 50 = 188.115


P10-11p10 = 23.3336p11 = 23.3336

P10-Z = 2.9336 mP11-Z = 2.9336 m

A = 1/2 ( 2.9336 + 2.9336 ) = 2.9336V = 2.9336 x 50 = 146.68


P11-0p11 = 23.3336p0 = 24.4072

P11-Z = 2.9336 mP0-Z = 4.0072 m

A = 1/2 ( 2.9336 + 4.0072 ) = 3.4704V = 3.4704 x 50 = 173.52

1852.83

m²m³

m²m³

m²m³

X Y Z164.49024 -33.91198 #REF!59.351961 10.8236 #REF!54.622588 14.16833 #REF!66.231067 5.958534 #REF!71.131044 2.493154 #REF!71.061416 12.72479 #REF!72.827797 6.532775 #REF!67.512258 -0.094363 #REF!164.3092 -56.75835 #REF!125.36113 0.296412 20.54666127.92247 4.5827 20.57333119.72652 -9.13362 20.34117.92889 -12.14202 20.40666113.31687 -4.5165 20.53167113.98955 -0.442762 20.55167108.85946 -2.743455 20.63825157.0892 -111.5752 #REF!170.3777 -31.2369 #REF!

167.21076 -32.67586 #REF!161.76972 -35.1481 #REF!159.58404 -36.1412 #REF!

159.7246 -37.51831 #REF!159.02759 -33.49772 #REF!156.69335 -32.13353 #REF!60.23051 -85.71388 #REF!167.30006 -56.96981 #REF!169.29326 -57.12045 #REF!159.82355 -56.43246 #REF!157.33941 -56.25198 #REF!

160.7855 -53.21498 #REF!161.16933 -51.07119 #REF!158.32694 -57.1732 #REF!58.72353 -85.95749 #REF!154.92551 -113.6523 #REF!153.12243 -115.3832 #REF!159.59491 -109.1693 #REF!161.37038 -107.4646 #REF!163.91309 -112.8191 #REF!164.43485 -110.9837 #REF!162.99719 -107.8243 #REF!0.371372 -82.87132 #REF!64.016634 -88.97776 #REF!66.288308 -90.93609 #REF!55.838609 -81.92779 #REF!53.043018 -79.51781 #REF!51.899929 -84.0359 #REF!54.928954 -79.07252 #REF!

62.796026 -77.6125 #REF!-29.80173 -77.46177 #REF!55.538215 -89.12585 #REF!51.645051 -92.99829 #REF!61.377144 -83.318 #REF!65.792726 -78.92593 #REF!53.731227 -79.75876 #REF!

56.25754 -76.31907 #REF!59.553355 -71.05721 #REF!-28.34838 -32.85386 #REF!3.9928537 -84.99585 #REF!6.8323075 -86.66161 #REF!-3.935918 -80.34446 #REF!-6.509704 -78.83455 #REF!-7.432955 -76.63888 #REF!-2.476102 -78.76893 #REF!0.3892273 -77.87756 #REF!-42.42356 10.56271 #REF!-31.75095 -74.55479 #REF!-33.14326 -72.47838 #REF!-27.57404 -80.78403 #REF!-20.89375 -90.74668 #REF!-25.04652 -79.00707 #REF!-25.13958 -81.23858 #REF!-24.60383 -86.00471 #REF!6.202758 9.285938 #REF!

-31.02444 -29.88377 #REF!-33.03149 -27.6562 #REF!-26.34133 -35.08143 #REF!-24.33876 -37.30403 #REF!-27.48785 -33.3622 #REF!-24.44867 -33.73422 #REF!-22.40088 -32.08674 #REF!62.55832 8.555992 #REF!

-42.79889 16.54874 #REF!-43.08039 21.03826 #REF!-42.17333 6.572027 #REF!-41.86035 1.58038 #REF!-44.26549 2.780682 #REF!-48.31039 5.149954 #REF!-44.25026 9.750192 #REF!

122.8 -3.99 #REF!2.411358 12.54341 #REF!

-1.380041 15.80088 #REF!9.994157 6.02847 #REF!13.78771 2.769154 #REF!10.39233 0.762659 #REF!5.853667 -1.205276 #REF!

-4.083343 1.342373 #REF!

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