3. perhitungan pengukuran theodolit

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Ta bel 1. Hasil Pengukuran Beda T inggi Dengan Theodolit Tempat Alat Tinggi Alat (M) Titik Bidikan Bacaan Belakang Bacaan Muka Sudut Horizontal Sudut Vertikal Jarak (M) Beda Tinggi (M) BA BT BB BA BT BB 1 1,51 BM 1,634 1,575 1,518   !4" 5# 3$ 11,54 %,8!5 1 1,66 1,65 1,545 138" &&# 4$ 85" 48# $ 11,438 ,744! & 1,8& 1,73 1,64 13!" 4# &5$ 85" 4&# 1$ 17,8!8 1,1&4! 3 &,! &,77 &,64 138" 5# 5$ 83" 44#4$ &5,6!1 1,5574 & 1,55 & 1,675 1,635 1,5!8   !&" 3# 3$ 7,685 %,4666 4 1,7!5 1,74 1,685 184" 4!# 1$ 84" 1&# 45$ 1,888 ,8685 5 &,385 &,&7 &,16 184" 1# 3$ 83" 5# 45$ &&,174 1,!&1 6 &,635 &,47 &,35 184" 17# $ 83" 41# 4$ 3&.61 &,6375 3 1,4! 5 1,61 1,555 1,5   !5" 4&# $ 1.8!1 %1,15&1 7 1,655 1,588 1,5& 187" 43# 45$ 84" &&# 45$ 13,37 1,&17! 8 1,!65 1,8&8 1,6! 1!&" 31# 4$ 84" 3# 1$ &7,&4 &,4!6 ! &,8& &,615 &,41 1!6" 13# 45$ !4" 18# 5$ 4,44& 3,6&4! 4 1,51& 8 &,465 &,33 &,1!5   !3" 4# &5$ &6.!4 %&,417 1 1,845 1,77 1,6! 183" 34# $ 84" &!# 5$ 15,356 1,&&5! 11 &,35 1,88 1,73 184" 1&# 35$ 84" 3!# 15$ 3,&35 &,461& 1& &,7 1,835 1,6 185" 17# 5$ 84" 15# &5$ 46,5&! 4,3565 5 1,55 11 &,15 1,845 1,685 !5" 1&# 55$ 3&,7&7 3,375 13 1,558 1,47& 1,388 177" 4# 55$ 85" 13# 55$ 16,88& 1,486&

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Page 1: 3. Perhitungan Pengukuran Theodolit

8/16/2019 3. Perhitungan Pengukuran Theodolit

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Tabel 1. Hasil Pengukuran Beda Tinggi Dengan Theodolit

Tempat

Alat

Tinggi

Alat

(M)

Titik 

Bidikan

Bacaan Belakang Bacaan MukaSudut

Horizontal

Sudut

Vertikal

Jarak 

(M)

Beda

Tinggi (M)

BA BT BB BA BT BB

1 1,51 BM 1,634 1,575 1,518   !4" 5# 3$ 11,54 %,8!5

1 1,66 1,65 1,545 138" &&# 4$ 85" 48# $ 11,438 ,744!

& 1,8& 1,73 1,64 13!" 4# &5$ 85" 4&# 1$ 17,8!8 1,1&4!

3 &,! &,77 &,64 138" 5# 5$ 83" 44#4$ &5,6!1 1,5574

& 1,55 & 1,675 1,635 1,5!8   !&" 3# 3$ 7,685 %,4666

4 1,7!5 1,74 1,685 184" 4!# 1$ 84" 1&# 45$ 1,888 ,8685

5 &,385 &,&7 &,16 184" 1# 3$ 83" 5# 45$ &&,174 1,!&1

6 &,635 &,47 &,35 184" 17# $ 83" 41# 4$ 3&.61 &,6375

3 1,4! 5 1,61 1,555 1,5   !5" 4&# $ 1.8!1 %1,15&1

7 1,655 1,588 1,5& 187" 43# 45$ 84" &&# 45$ 13,37 1,&17!

8 1,!65 1,8&8 1,6! 1!&" 31# 4$ 84" 3# 1$ &7,&4 &,4!6

! &,8& &,615 &,41 1!6" 13# 45$ !4" 18# 5$ 4,44& 3,6&4!

4 1,51& 8 &,465 &,33 &,1!5   !3" 4# &5$ &6.!4 %&,417

1 1,845 1,77 1,6! 183" 34# $ 84" &!# 5$ 15,356 1,&&5!

11 &,35 1,88 1,73 184" 1&# 35$ 84" 3!# 15$ 3,&35 &,461&

1& &,7 1,835 1,6 185" 17# 5$ 84" 15# &5$ 46,5&! 4,3565

5 1,55 11 &,15 1,845 1,685 !5" 1&# 55$ 3&,7&7 3,375

13 1,558 1,47& 1,388 177" 4# 55$ 85" 13# 55$ 16,88& 1,486&

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14 &,&4 &,65 1,885 178" 3!# 35$ 84" !# 45$ 35,13& 3,768

15 &,735 &,44 &,185 17!" 4# 35$ 84" 33# 4$ 54,55 4,&!!6

6 1,535 14 &,685 &,5!5 &,5   !" &# &$ 18,4!! %1,16!316 1,743 1,64 1,54 186" &3# &5$ 87" 46# 3$ &,&6! ,68&5

17 &,17 1,84 1,57 186" &# 45$ 87" 35# 5$ 5!,8!4 &,&8&

18 &,&1 1,! 1,5! 174" 1# 1$ 88" 14# 5$ 61,!41 1,544

7 1,5& 17 1,865 1,785 1,71   87" 43# 35$ 15,475 ,4&83

1! 1,7!7 1,68 1,5! 163" 46# 35$ 8!" 34# 55$ &3,68! ,1&!

& 1,!45 1,775 1,61 17" 51# 35$ 88" 16# 4$ 33,46! ,7513

&1 &,8 1,85 1,6 176" 17# 1$ 87" 54# 3$ 47,!36 1,4&7

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Tempat Titik Jarak (m) = c (BA-BB) sin2m

Alat Bidikan BB BM Hasil (meter)

1 BM 1 '1,634%1,518( sin& !4,!16 11,54

1 1 '1,66%1,545( sin&

 85,8 11,438& 1 '1,518%1,64( sin& 85,7&7 17,8!8

3 1 '&,!%&,64( sin& 83,7416 &5,6!1

& & 1 '1,675%1,5!8( sin& !&,583 7,685

4 1 '1,7!5%1,685( sin& 84,&1&5 1,888

5 1 '&,385%&,16( sin& 83,!58 &&,174

6 1 '&,635%&,35( sin& 83,6!44 3&.61

3 5 1 '1,61%1,5( sin& !5,7 1.8!1

7 1 '1,655%1,5&( sin& 84,37!1 13,37

8 1 '1,!65%1,6!( sin& 84,5&7 &7,&4

! 1 '&,8&%&,41( sin

&

 83,313 4,44&4 8 1 '&,465%&,1!5( sin& !3,413 &6.!4

1 1 '1,845%1,6!( sin& 84,485 15,356

11 1 '&,35%1,73( sin& 84,6541 3,&35

1& 1 '&,7%1,6( sin& 84,&56! 46,5&!

5 11 1 '&,15%1,685( sin& 83,6!44 3&,7&7

13 1 '1,558%1,388( sin& 85,&31! 16,88&

14 1 '&,&4%1,885( sin& 84,16&5 35,13&

15 1 '&,735%&,185( sin& 84,5611 54,55

6 14 1 '&,685%&,5( sin& !,3388 18,4!!

16 1 '1,743%1,54( sin& 87,775 &,&6!

17 1 '&,17%1,57( sin& 87,5!7& 5!,8!418 1 '&,&1%1,5!( sin& 88,&347 61,!41

7 17 1 '1,865%1,71( sin& 87,4335 15,475

1! 1 '1,7!7%1,56( sin& 8!,581! &3,68!

& 1 '1!4,5%1,61( sin& 88,&777 33,46!

&1 1 '&,8%1,6( sin& 87,!83 47,!36

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Tinggi Titik Beda Tinggi (!) = " c (BA-BB) sin 2 # $ (Hi - BT)

Alat Bidikan BB BM Hasil

(meter)

1,51 BM ) 1 '1,634%1,518( sin

 

& '!%!4,!16( * '1,51%1,575( %,8!51 ) 1 '1,66%1,545( sin & '!%85,8( * '1,51%1,65( ,744!

& ) 1 '1,8&%1,64( sin & '!%85,7&7( * '1,51%1,73( 1,1&4!

3 ) 1 '&,!%&,64( sin & '!%83,7416( * '1,51%&,77( 1,5574

1,55 & ) 1 '1,675%1,5!8( sin & '!%!&,583( * '1,55%1,635( %,4666

4 ) 1 '1,7!5%1,685( sin & '!%84,&1&5( * '1,55%1,74( ,8685

5 ) 1 '&,385%&,16( sin  & '!%83,!58( * '1,55%&,&7( 1,!&1

6 ) 1 '&,635%&,35( sin  & '!%83,6!44( * '1,55%&,47( &,6375

1,4! 5 ) 1 '1,61%1,5( sin & '!%!5,7( * '1,4!%1,555( %1,15&1

7 ) 1 '1,655%1,5&( sin & '!%84,37!1( * '1,4!%1,588( 1,&17!

8 ) 1 '1,!65%1,6!( sin & '!%84,5&7( * '1,4!%1,8&8( &,4!6

! ) 1 '&,8&%&,41( sin & '!%83,313( * '1,4!%&,615( 3,6&4!1,51& 8 ) 1 '&,465%&,1!5( sin & '!%!3,413(* '1,51&%&,33( %&,417

1 ) 1 '1,845%1,6!( sin & '!%84,485( * '1,51&%1,77( 1,&&5!

11 ) 1 '&,35%1,73( sin & '!%84,6541( * '1,51&%1,88( &,461&

1& ) 1 '&,7%1,6( sin & '!%84,&56!( * '1,51&%1,835( 4,3565

1,55 11 ) 1 '&,15%1,685( sin & '!%83,6!44( * '1,55%1,845( 3,375

13 ) 1 '1,558%1,388( sin & '!%85,&31!( * '1,55%1,47&( 1,486&

14 ) 1 '&,&4%1,885( sin & '!%84,16&5( * '1,55%&,65( 3,768

15 ) 1 '&,735%&,185( sin & '!%84,5611( * '1,55%&,44( 4,&!!6

1,535 14 ) 1 '&,685%&,5( sin & '!%!,3388( * '1,535%&,5!5( %1,16!3

16 ) 1 '1,743%1,54( sin & '!%87,775( * '1,535%1,64( ,68&517 ) 1 '&,17%1,57( sin & '!%87,5!7&( * '1,535%1,84( &,&8&

18 ) 1 '&,&1%1,5!( sin & '!%88,&347( * '1,535%1,!( 1,544

1,5& 17 ) 1 '1,865%1,71( sin &'!%87,4335(* '1,5&%1,785( ,4&83

1! ) 1 '1,7!7%1,56( sin & '!%8!,581!( * '1,5&%1,68( ,1&!

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& ) 1 '1,!45%1,61( sin & '!%88,&777( * '1,5&%1,775( ,7513

&1 ) 1 '&,8%1,6( sin & '!%87,!83( * '1,5&%1,85( 1,4&7