theodolid 7

7/25/2019 THEODOLID 7

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Survey dan Civil engineering13Klompok 7

I.PERHITUNGAN PEMETAAN (THEODOLITH)

1. Perhitungan Patok Utama

Rumus :

P0= 2711628 022 50=27059 38

P1 = 16754 0 0 0 0=16754 0

P2 = 157 43 4000 0=15743 40

P3=32322 400 0 0=323 22 40

P4= 225 54 500 0 0=225 54 50

P5=185 34 500 0 0=185 34 50

P6=189 1 100 0 0=189 1 10

P7=279 25 400 0 0=279 25 40

Jumlah=P0 + P1 + P2 + P3 + P4 + P5 + P6 + P7

=2705938 + 167540 + 1574340 + 3232240 + 2255450

+1853450+189110 + 2792540

=1799 56 28

. !orek"i #u$ut

% %

Jumlah Koreks =1800 0 0 ! 1799 56 28

=0 3 32

&. Menghitung !orek"i Per'atok

Sudut Datar = Sudut Muka Sudut

18000!" # 8 $ % & '!"n %& '


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Rumus "mum :

P0 = 270059

'38

}} over {{1799} ^ {0} {56} ^ {'} {28} ^ { # 0 3 32$ = 0 0% 31&92%

P1 = 1670

54

'

0} over {{1799} ^ {0} {56} ^ {'} {28} ^ { # 0 3 32 $ = 0 0% 19&78%

P2 =

}}

1799056

'28

157043

'40

''

# 0 3% 32% = 0 0% 18&58%

P3 =

}}

1799056

'28

323022

'40

' '

# 0 3% 32 = 0 0% 38&09%

P4 =

}}

1799056'28

225054

'50

' '

# 0 3% 32% = 0 0% 26&61%

P5 = 185034

'50

}} over {{1799} ^ {0} {56} ^ {'} {28} ^ { # 0 3 32$ = 0 0% 21&86%

P6 = 18901

'10} over {{1799} ^ {0} {56} ^ {'} {28} ^ { # 0 3 32 $ = 0

1% 22&26%

P7 =

}}

1799056

'28

279025

'40

''

# 0 3% 32% = 0 0% 32&91%

Koreks Per'a(ok=P0 + P1 + P2 + P3 + P4 + P5 + P6 + P7

=0 3% 32&01%

. Menghitung #u$ut Terkorek"i

Rumus "mum :

P0=271 16 28 +00 31&29=2710 9&92

P1 =16754 0+ 0 0 19&78=16757 19&7P2=157 43 40+00 18&58=15743 58&5

P3= 32322 40 +0 0 38&09= 323 23 18

P4 =225 54 50+0 0 26&61=225 55 16&6

P5 =185 34 50+0 0 21&86=185 35 11&8

Korek)i *erpatok= sudut datar patok

sudut datar'

Sudut terkorek)i = )udut datar -


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P6 =189 1 10+0 0 22&26=189 1 32&26

P7= 279) 25 40 + 0) 0 32&91 = 279) 26 12*9

. Menghitung *arak Datar O'ti" (D)

Rumus "mum :

P0 P1 = 1&800 1&300, 100 - s.287 2210$ = 49&895 m

P1 P2 = 3&150 2&65 , 100 - s.287 3640$ = 49&913 m

P2 P3= 2&518 1&65 , 100 - s.286 5110$ = 50&647 m

P3 P4 = 0&84 0&561 , 100 - s.293 0800$ = 27&817m

P4 P5 = 3&460 2&950, 100 - s.291 1200$ = 50&978 m

P5 P6 = 1&75 1&25 , 100 - s.292 1900$ = 49&918 m

P6 P7 = 1&698 1&304, 100 - s.287 9630$ = 39&377 m

P7 P0 = 1&56 1&24 , 100 - s.292 1910$ = 31&948 m

/= 350&493 m

+. Menghitung ,e$a tinggi

Rumus "mum :

P0 P1 = 1&47 1&550, + 49*895 (a. 87 22 10 = 2*212

P1 P2 = 1&50 2&900, + 49*913 (a. 87 36 40 = 0&682

P2 P3 = 1&43 1&900, +50&647 (a. 86 51 10 = 3&585

P3 P4 = 1&52 0&700, +27*817 (a. 93 08 00 = !0&703

P4 P5 = 1&51 3&200, + 50*978 (a. 91 12 00 = !2*258

P5 P6 = 1&47 1&500, + 49*918 (a. 92 19 00 = !2&049

P6 P7 = 1&42 1&500, +39*377 (a. 87 96 30 = 0&877

P7 P0 = 1&549 1&400, + 31*948 (a. 92 19 10 = !1&145

D = !B. BB& 100

Beda tinggi = .


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-.Menghitung aimuth

Rumus "mum :

P0 P1 = 240 00 00+ 271 00 9&92, 180 = 331 00 9&92

P1 P2 = 331 00 9&92 + 167 54 19&7, ! 180 = 318 54 29&6

P2 P3 = 318 54 29&6 + 157 43 58&5, ! 180 = 296 38 28&1

P3 P4 = 296 38 28&1 + 323 23 18, ! 180 = 80 1 46&12

P4 P5 = 80 1 46*12 + 225 55 16&6, ! 180 = 125 57 2&72

P5 P6 = 125 57 2&72 + 185 35 11&8, ! 180 = 131 32 14&52

P6 P7 = 131 32 14&52 + 189 1 13&26, ! 180 = 140 33 27*78P7 P0 = 140 33 27*78 + 279 26 12&9, ! 180 = 240 00 00

/. Menghitung "e0i"ih koor$inat

Rumus "mum :

- = P0 P1 = 49&895 # s. 331 00 9&92 = !24&187 m

P1 P2 = 49&913 # s. 318 54 29&6 = !32&806 m

P2 P3 = 50&647 - s. 296 38 28&1 = !45&270 mP3 P4 = 27&817 - s. 80 1 46*12 = 27&397 mP4 P5 = 50&978 - s. 125 57 2*72 = 41&268 m

P5 P6 = 49&918 - s. 131 32 14&52 = 37&365 m

P6 P7 = 39&377 - s. 140 33 27*78 = 25&016 mP7 P0 = 31&948 - s. 240 00 00 = !27&668 m

- = 1&115 m

= P0 P1 = 49&895 - os 331 00 9&96 = 43&640 m

P1 P2 = 49&913 - os 318 54 29&6 = 37&617 m

P2 P3 = 50&647 - os 296 38 28&1 = 22&710 mP3 P4 = 27&817 - os 80 1 46*12 = 4&816 m

P4 P5 = 50&978 - os 125 57 2&72 = !29&929 m

P5 P6 = 49&918 - os 131 32 14&52 = !33&101 m

.imut, = 4 a5al $ )udut *n - 1806

.imut, a5al = 10 $ 80 = "%0

' = 9arak datar :)in 4

=


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P6 P7 = 39&377 - os 140 33 27&78 = !30&409 mP7 P0 = 31&948 - os 240 00 00 = !15&977 m

= !0&633 m

. Menentukan "e0i"ih koor$inat (korek"i ero" 0inear)

Rumus "mum :

".(uk - :

- = P0 P1 = !1,117

350,493- 49&895 = !0&159 m

- = P1 P2 = !1,117

350,493

- 45&913 = !0&159 m

- = P2 P3 = !1,117

350,493- 50&617 = !0&161 m

- = P3 P4 = !1,117

350,493- 27&817 = !0&089 m

- = P4 P5 = !1,117

350,493- 50&978 = !0&153 m

- = P5 P6 = ! 1,117350,493

- 49&918 = !0&150 m

- = P6 P7 = !1,117

350,493- 39&377 = !0&118 m

- = P7 P0 = !1,117

350,493- 31&948 = !0&096 m

+

- . = !1&085

;


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- = P1 P2 = !0,633

350,493- 45&913 = 0&100 m

- = P2 P3 = !0,633

350,493- 50&617 = 0&101 m

- = P3 P4 = !0,633

350,493- 27&817 = 0&056 m

- = P4 P5 = !0,633

350,493- 50&978 = 0&102 m

- = P5 P6 = !0,633

350,493- 49&918 = 0&100 m

- = P6 P7 = !0,633

350,493

- 39&377 = 0&079 m

- = P7 P0 = !0,633

350,493- 31&948 = 0&064 m

+ - . = 0&692

12. Menghitung "e0i"ih koor$inat

Rumus "mum :

;


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P1 P2 = 37*617 + 0&100, = 37&717P2 P3 = 22&710 + 0&101, = 22&811

P3 P4 = 4&816 + 0&056, = 4&872

P4 P5 = !29&929, + 0&102, = !29&827

P5 P6 = !33&101, + 0&100, = !33&001

P6 P7 = 30&409, + 0&079, = !30&330P7 P0 = !27&66, + 0&064, = !15&913

= 0*059

11. Menghitung koor$inat 'o03gon

Rumus "mum :

ke(ahu koor.a( P - & , = 260&260, Koor.a( a>al ((k P

a* Koor.a(

P0!P1, = 240*00 + !24&346, = 215&654

P1-*"&= 215&654 + !34&965, = 180&689P"-*3&= 180&689 + !45&431, = 135&258P3-*%&= 135&258 + 27&308, = 162&566P%-*>&= 162&566 + 41&115, = 203&681

P5!P6, = 203&681 + 37&215,= 240&896P6!P7, = 240&896 + 24&898, = 267&794

P7!P0, = 267&794 + !27&762, = 240&00


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P0 = 240&00 m

P1 = 240&00 + 2&212, =242&212 m

P"= 242&212 + 0&682, = 242&894 m

P3= 242&894 + 3&585, = 246&479 m

P%= 246&479 + !0&703, = 245&776 m

P>= 245&776 + !2&258, = 243&518 m

P6 = 243&518 + !2&049, = 241&469 m

P7 = 241&469 + 0&877, = 241&346 m

P0 = 241&346 + !1&145, = 240&00 m

MODUL II

PENGU!URAN DENGAN MENGGUNA!AN THEODOLITH

A.TUJUAN INSTRUKSI UMUM

1# Ma,a)i)5a dapat mengeta,ui prin)ip penggunaan t,eodolit,#

"# Ma,a)i)5a dapat melakukan pengukuran )udut ,oriontal dan )udut

vertikal dan meng,itung 9arak ata) da)ar pemAa@aan )udut ramAu#

4. TU*UAN IN#TRU!#I !HU#U#

1* @ahass>a =a'a( melakuka. 'e.Aukura. su=u( =e.Aa. me(o=e 8a.A


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3# amAu ukur

%# Kompa)

># Baterai !Aagi pe)a5at t,eodolit, digital&

# nting-unting

7# *atok kayu

8# Meteran

(# .lat tuli)-menuli)

D. TINJAUAN PUSTAKA1# .rti dan tu9uan Elmu kur ana,Elmu ukur tana, adala, ilmu yang

Aer,uAungan dengan Aentuk muka Aumi !topograF& artinya ilmu yangAertu9uan menggamAarkan Aentuk topograF muka Aumi dalam )uatupeta dengan )egala )e)uatu yang ada pada permukaan Aumi )eperti kotaG

9alanG )ungaiG AangunanG dll

Dengan )kala lingkaran tertentu )e,ingga dengan mempela9ari peta kita

dapat mengeta,ui 9arakG ara,G dan po)i)i tempat yang kita inginkan#

mempela9ari ilmu ukur tana, H

a# MemAuat petaA# Menentukan eleva)i dan ara,

@# Mengontrol eleva)i dan ara, u9uan

d# Dan lain-lain#

"# Dimen)i-Dimen)i ang .kan Diukur

a# +arak H .dala, gari) ,uAung terpendek antara "titik yang dapat

di ukurdengan menggunakan alat ukur mi)alH mi)tarG pita

ukurG t,eodolit,G 5aterpa))G dan lain-lain#

A# Sudut H .dala, Ae)aran antara " ara, yang Aertemu pada)atu

titik !untuk menentukan aimut, dan ara,


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B.

B

BB

2


@# Ketinggian H .dala, 9arak tegak diata) atau diAa5a, Aidang reviner)

yang akan diukur dengan 5aterpa)) dan ramAu ukur#

3# *rin)ip Da)ar *engukuran

ntuk meng,indari ke)ala,an-ke)ala,an yang mungkin )a9a ter9adiG maka

tuga) pengukuran ,aru) dida)arkan pada prin)ip pengukuran yaitu H

1# *erlu adanya penge@ekan terpi)a,

"# idak ada ke)ala,an-ke)ala,an dalam pengukuran

3# *eta dan +eni)-9eni) *eta#

%# *engukuran *olygon

Pe.Aukura. 'olAo. maksu me.Ah(u.A koor.a(& ke(.AAa. (a'!(a' ((k 'olAo. u.(uk (u k(a

me.Aaaka. 'e.Aukura. suu( a. Barak e.Aa.

me.Aka(ka. 'aa sua(u ((k (e(a' se'er( ((k (ra.Aulas& Bem


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o


B. = Benang .ta)B = Benang enga,

BB = Benang Ba5a,

2 = *emAa@aan )udut vertikal !,elling&

+arak miring !D& = !B.-BB& ' 100 ' )in 2

+arak datar !D& = !B.-BB& ' 100 ' )in"2

= D1)in 2

A# Meng,itung Sudut Datar dan Korek)i

Ce(elah suu( a(ar Bumlah ar semua ((k a.A a'a( ar hasl 'e.Aukura. aka. (erBa

kesalaha.& maka e.Aa. (u harus koreks sesua e.Aa.


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C

D

.imut,

diketa,ui

*oligon Aaru

.imut,

diketa,ui

*oligon erda,ul

.

B


*oligon ertutup antara " titik yang diketa,ui


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.B

.B

C

D

.B

B

C


a* Pe.Aukura. mula ar ((k ;F ma.a aDmu( ;F ke(ahu a. (erakhr ((k G aDmu(

se


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DimanaH

D = 9arak datar

= aimut,

'erh(u.Aa. ar mula ar ((k a>al a.A suah ke(ahu koor.a(.a kemua.

(am


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dan ung)inya#

3# *er,atikan Aaik-Aaik tempat dan @ara memAa@a )kala lingkaran Aaik

,oriontal maupunvertikalG karena )etiap pe)a5at mempunyai )pe)ivika)i

)endiri-)endiri#

%# +angan memutar-mutar )ekrup pengatur )eAelum ta,u Aenar ung)inya#

># Dalam memAuka dan mengun@i )ekrup-)ekrup pengatur 9angan terlalu

longgar dan terlalu ken@ang#

# Kalau ma)i, ragu di,arapkan Aertanya pada in)truktur#

F. LANGKAH KERJA

1. Mengena0 4agian54agian Pe"a6at

Pasa.A 'esa>a( a(as s(a(*

@em'erha(ka. e.Aa. seksama


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4, ua Aars Burusa. a.A me.a(ar a. aka. le(ak er(kal*

5, @e.Aula.A 'ekerBaa. h.AAa


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((k O a. le(ak kak ..A*

Paa ((k P L 'asa.A ker(as mlme(er a(auker(as skala me.a(ar seemka. ru'a

h.AAa ((k .ol skala


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* Ce>ak(u (ero'o.A


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* Mo.us

* Qars lurus a.A le.Aka' e.Aa. mrome(er*

2* a* Fe.(uk Aars lurus (elah


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3*Faa skala mrome(er a.A (u.Buk oleh .e-


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horDo.(al a. er(kal*

3* Ce(elah ((k F kelha(a.& me.em'a(ka. ((k F erse


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H1= 2R s.22

H2= R s. 2

O(k 2 H2& ?2,

H2= 2R s.2

H3= R s. 3

O(k 3 H3& ?3,

H3= 2R s.2 32

H.= R s. .*

O(k . H.& ?.,

4* @em


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Po03gon Ter,uka

1* @e.e.(uka. ((k 'o(o.A 'olAo. a.A aka. al 'e.Aukura.*


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2* Pe.Aukura. akhr harus kemal mula

ar ((k P a.A kemua. akhr ke((k P laA*

H. Pengukuran #etting Out5#take Out

1* @emasa.A a. me.Aukur 'esa>a( 'aa ((k ; sam'a sa' 'aka*

2* @e.olaka. skala l.Akara. me.a(ar kemua. ku. kema( sea( se


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II. Perhitungan Patok Detai01. Menentukan #u$ut Datar Detai0

Rumus :

Sudut Datar = Sudut Muka Sudut Belakang'0 = 'a = 0 11 0$ ! 0 22 50$ = !0 1 50$+ 360

= 35 5 109 8

'< = 0 19 50$ ! 0 22 50$ = 0 7 0$' = 358 47 40$ ! 0 22 50$= 358 2450$

' = 0 5230$ ! 0 2250$ = 0 29 40$

'1 ='a = 308 4410$ ! 0 00$ = 308 4410$

'< =308 620$ ! 0 00$ = 308 620$

' =303 4620$! 0 00$ = 16 260$' = 260 00$ ! 0 00$ = 260 00$

'e = 262 2220$ ! 0 00$ = 262 2220$

' = 262 3140$ ! 0 00$ = 262 3140$

'A = 266 3730$ ! 0 00$ = 266 3730$

'2 ='a = 268 3620$ ! 0 00$ = 268 3620$

'< = 266 3750$ ! 0 00$ = 266 3720$

' = 263 010$ ! 0 00$ = 263 010$

' = 97

3440$ ! 0

00$ = 97

3440$'e = 100 1440$ ! 0 00$ = 100 1440$

'3 = 'a = 322 320$ ! 0 00$ = 322 320$

'< = 319 5350$! 0 00$ =319 5350$' = 318 3440$! 0 00$ =318 3440$

' = 248 5740$! 0 00$ =248 5740$


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'e = 166 4740$! 0 00$ =166 4740$' = 119 2320$ ! 0 00$ =119 2320$

'4 ='a = 132 1856 ! 0 00$ = 132 1856$

'5 ='a = 263 2540$ ! 0 00$ =263 2540$

. *arak $atar o'ti" (D)

Rumus :

Jarak Datar Optis = (BA - BB x sin!

P0a = 1*625 ! 1*315, 100 # s.X 87 18 0 = 30*93

P0< = 1*619 ! 1*319,100 # s.X 92 2 50 = 29*96P0 = 1*570 ! 1*370,100 # s.X 95 41 20= 18*80

P0 = 1*795 ! 1*715, 100 # s.X 100 20 20 = 7*74

P1a = 1*700 1*300,100# s.X 94 2230 = 39*76

P1< = 0*91 0*49,100 # s.X 91 37 28 = 41*97P1 = 1*74 1*26, 100# s.X90 00 00 = 48*00

P1 = 1*870 1*540,100 # s.X90 38 00 = 32*99

P1e = 3*220 2*990, 100 - s.X 90) 38 00 = 23*00P1 = 3*275 3*15, 100 - s.X90) 44 40 = 12*50

P1A = 2*90 2*890, 100 - s.X 104) 45 00 = 7*87

P2a = 0*440 0*193,100# s.X893000 = 24&70

P2< = 2*188 1*920,100 # s.X892050 = 26*79

P2 = 1*736 1*500,100# s.X892530 = 23*60P2 = 1*44 1*37, 100 # s.X893750 = 24*70

P2e = 0*562 0*438,100# s.X820950 =26*79

P3a = 1*83 1*61, 100 # s.X930800 = 22

P3< = 2*650 2*440, 100 #s.X844130 = 20*82

P3 = 1*730 1*490, 100 - s.X 84)4300 = 24P3 = 1*626 1&574, 100 - s.X 84)2300 = 5*15

P3e = 0*943 0*858, 100 - s.X 73)2410 = 7*81

P3 = 2*973 2*83, 100 - s.X 71)1310 = 12*82

P4a = 0*739 0*661, 100 - s.X 76) 26 50 = 7*37


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P5a = 1*295 1*142, 100 - s.X 95) 05 40 = 11*61

&. Aimuth

Rumus:a"imut# $n % sudut datar detail - &');Dmu(h a>al = 160

P0a = 16000 + 3595810 ! 180 = 3395810

P0< = 16000+ 00700! 180 = 19530

P0 = 16000 + 3582450 ! 180 = 3382450P0 = 16000 + 002940! 180 =3402940

P1a = 25109*92 + 3084410 !180 = 194419*9

P1< = 25109*92 + 308620 ! 180 = 19629*92P1 = 25109*92 + 3034620 ! 180 = 144629*92

P1 = 25109*92 +2600000 !180 = 33109*92

P1e = 25109*92 + 2622220 !180 = 3332229*9P1 = 25109*92 + 2623140 ! 180 = 3333149*9

P1A = 25109*92 + 2663730 ! 180 = 3373739*9

P2a = 2385729*6 + 2683620 !180 = 3273349*6

P2< = 2385729*6 + 2663750 ! 180 = 3253519*6P2 = 2385729*6 + 2630010 ! 180 = 3215739*6P2 = 2385729*6 + 973440 !180 = 156329*6

P2e = 2385729*6 + 1001440 ! 180 = 159129*6

P3a = 2164128*1 + 322320 ! 180= 3591328*1

P3< = 2164128*1 + 3195350 ! 180 = 3563518*1P3 = 2164128*1 + 3183440 ! 180 =355168*1

P3 = 2164128*1 + 2485740 ! 180 = 285398*1

P3e = 2164128*1 + 1664740 ! 180= 203298*1

P3 = 2164128*1 + 1192320 ! 180 = 156448*1

P4a = 360446*12 + 1321856 ! 180= 3122342*1

P5a = 4602*72 + 2632540 ! 180 = 1292542*7


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. #e0i"ih koor$inat

Rumus :

*x = +arak datar ,ptis sin a"imut#

*. = +arak datar ,ptis /,s a"imut#

9: ;

P0a = 30*93 # s. 3395810, = !10*594

P0< = 29*69 # s. 195300, = 10*097P0 = 19*80 # s. 3382450, = !7*284

P0 = 7*74 # s. 3402940 , = !2*584

P1a = 39*76 # s. 194419*9, = 13*428

P1< = 41*97 # s. 19629*92, = 13*739

P1 = 48*00 # s. 144629*92, = 12*241P1 = 32*99# s. 33109*92 , = !15*992

P1e = 23*00 # s. 3332229*9, = !10*307

P1 = 12*50 # s. 3333149*9, = !5*571

P1A = 7&87 # s. 3373739*9, = !2*995

P2a = 24*70 # s. 3273349*6, = !13*248

P2< = 26*76 # s. 3253519*6, = !15*122P2 = 23*60 # s. 3215739*6, = !14*542

P2 = 24*70 # s. 156329*6 , = 9*834

P2e = 26*79 # s. 159129*6, = 9*512

P3a = 22 # s. 3591328*1, = !0*297

P3< = 20*82 # s. 3563518*1, = !1*239P3 = 24 # s. 355168*1, = !1*979

P3 = 5*15 # s. 285398*1, = !4*959

P3e = 7*81 # s. 203298*1, = !3*112

P3 = 12*82 # s. 156448*1, = 9*198

P4a = 7*37 # s. 312442*1, = !5*198

P5a = 11*61 # s. 1292542*7, = 8*976


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93 ;P0a = 30*93 # os 3395810, = 29*059

P0< = 29*69 # os 195300, = 27*920P0 = 19*80 # os 3382450, = 18*411

P0 = 7*74 # os 3402940 , = 7*295

P1a = 39*76 # os 194419*9, = 37&423P1< = 41*97 # os 19629*92, = 39*657

P1 = 48*00 # os 144629*92, = 46*412

P1 = 32*99 # os 331009*92 , = 28*854P1e = 23*00 # os 3332229*9, = 20*561

P1 = 12*50 # os 3333149*9, = 11*189P1A = 7*87 # os 3373739*9, = 7*277

P2a = 24*70 # os 3273349*6, = 20*846

P2< = 26*76 # os 3253519*6, = 22*077

P2 = 23*60 # os 3215739*6, = 18*587

P2 = 24*70 # os 156329*6 , = !22*657P2e = 26*79 # os 159129*6, = !25*044

P3a = 22 # os 3591328*1, = 21*998

P3< = 20*82 # os 3563518*1, = 21*818P3 = 24# os 355168*1, = 23*918P3 = 5*15 # os 285398*1, = 1*389

P3e = 7*81 # os 203298*1, = !7*163

P3 = 12*82 # os 156448*1, = !11&718

P4a = 7*37 # os 3122342&1, = 4*969

P5a = 11*61 # os 1292542*7, = 4&194


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. !oor$inat 'o0igon $etai0

Rumus:

X = X0+ x

Y = y0 + y

Dik koordinat po (xo.yo) = (160.160)

Koordinat awal di p7

'0 = 'a = 170*828 + !10*594 = 160*234

'< = 170*828 + 10*097 = 180*925

' = 170*828 + !7*284 = 163*544

' = 170*828 + !2*584 = 168*244

'1 = 'a = 123*533 + 13*428 = 136*961

'< = 123*533 + 13*739 = 137*272

' = 123*533 + 12*241 = 135*774

' = 123*533 + !15*992 = 107*541'e = 123*533 + !10*307 = 113*226

' = 123*533+ !5*571 = 117*962

'A = 123*533+ !2*995 = 120*538

'2 = 'a = 80*660 + !13&248 = 67*412

'< = 80*660 + !15*122 = 65*538

' = 80*660 + !14*542 = 66*118

' = 80*660 + 9*834 = 90*494'e = 80*660 + 9*512 = 90*172

'3 = 'a = 50*280 + !0*297 = 49*983

'< = 50*280 + !1*239 = 49*041

' = 50*280 + !1*979 = 42*301

' = 50*280 + !4*959 = 45*321'e = 50*280 + !3*112 = 47*168

' = 50*280 + 5*198 = 55*478


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'4 = 'a = 50*253 + !5*442 = 44*811

'5= 'a = 86*804 + 8*967 = 95*771

y= y0+ y

'0 = 'a = 129*870 + 29*059 = 158*929

'< = 129*870 + 27*920 = 157*790

' = 129*870 + 18*441 = 148*281

' = 129*870 + 7*295 = 137*165

'1 = 'a = 113*490 + 37*423 = 150*913

'< = 113*490 + 39*657 = 153*147

' = 113*490 + 46*412 = 159*902

' = 113*490 + 28*854 = 142*344'e = 113*490 + 20*561 = 134*051

' = 113*490 + 11*189 = 124*679

'A = 113*490 + 7*277 = 120*767

'2 = 'a = 87*607 + 20*846 = 108*453

'< = 87*607 + 22*077 = 109*684' = 87*607 + 18*587 = 106*194

' = 87*607 + !22*657 = 64*950

'e = 87*607 + !25*044 = 62*563

'3 = 'a = 46*977 + 21*998 = 68*975

'< = 46*977 + 21*818 = 68*795

' = 46*977 + 23*918 = 70*895

' = 46*977 + 1*389 = 48*366'e = 46*977 + !7*163 = 39*814

' = 46*977 + !11*718 = 35*259


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'4 = 'a = 74*707 + 4*969 = 79*676

'5= 'a = 110*057 + !7*367 = 102*690


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+. menghitung ,e$a tinggi $etai0

1, Pa(ok P0

P0a = 1&47 1&47 +

87 18'00}}

tan

30,93

= 1&459

P0< = 1&47 1&47 +

92 2'50}}

tan

29,96

= !1&071

P0 = 1&47 1&47 +

95 41'20}}

tan

18,80

= !1&873

P0 = 1&47 1&75 +

100 20'20}}

tan

7,74

= !1&692

2, Pa(ok P1

P1a = 1&50 1&50 +

94 22'30}}

tan

39,76

= !3&042

P1< = 1&50 0&70 +

91 37'28}}

tan

41,97

= !0&390

P1 = 1&50 1&50 +

90 0'20}}tan

48,00

= !0&004

I, = . - Bm $


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P1 = 1&50 1&705 +

90 38'00}}

tan

32,99

= !0&570

P1e = 1&50 3&10 +

90 38'00}}

tan 23,00

= !1&854

P1 = 1&50 3&20 +

90 44'40}}

tan

12,50

= !1&862

P1A = 1&50 2&90 +

104 45'00}}

tan

7,87

= !3&472

3, Pa(ok P2

P2a = 1&43 0&316 +

89 30'0}}

tan

24,70

= 1&330

P2< = 1&43 2&054 +

89 20'50}}

tan

26,79

= !0&319

P2 = 1&43 1&618 +

89 25'30}}

tan

23,60

= 0&049

P2 = 1&43 1&400 +

89 37'50}}

tan

24,70

= 0&189

P2e = 1&43 0&500 +

82 09'50}}

tan

26,79

= 4&617

4, Pa(ok P3


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P3a = 1&52 1&72 +

93 08'00}}

tan

22

= !1&404

P3< = 1&52 2&545 +

84 41'30}}

tan

20,82

= 0&909

P3 = 1&52 1&610 +

84 43'00}}

tan

24

= 2&129

P3 = 1&52 1&6 +

84 23'30}}

tan

5,15

= 0&426

P3e = 1&52 0&9 +

73 24'10}}

tan

7,81

= 2&948

P3 = 1&52 2&9 +

71 13'10}}

tan

12,82

= 2&979

5, Pa(ok P4

P4a = 1&51 0&7 +

76 26'50}}

tan

7,37

= 2&587

6, Pa(ok P5

P5a = 1&47 1&52 +

95 05'40}}

tan

11,61

= !1&085


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-. menghitung tinggi titik

1, Pa(ok P0

P0a = 162&202 + 1&459 =163&661

P0< = 162&202 + !1&071, = 161&131P0 = 162&202 + !1&873, = 160&329

P0 = 162&202 + !1&692, = 160&510

2, Pa(ok P1

P1a = 162&884 + !3&042, = 159&842

P1< = 162&884 + !0&390, = 162&494

P1 = 162&884 + !0&004, = 162&880

P1 = 162&884 + !0&570, = 162&315

P1e = 162&884 + !1&854, = 161&030

P1 = 162&884 + !1&862, = 161& 022

P1A = 162&884 + !3&472, = 159&412


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3, Pa(ok P2

P2a = 166&469 + 1&330 = 167&799

P2< = 166&469 + !0&319, = 166&150

P2 = 166&469 + 0&049 =166&518

P2 = 166&469 + 0&189 = 166&658

P2e = 166&469 + 4&617 = 171&086

4, Pa(ok P3

P3a = 165&766 + !1&404, = 164&362

P3< = 165&766 + 0&909 = 166&675

P3 = 165&766 + 2&129 = 167&895

P3 = 165&766 + 0&426 = 166&192

P3e = 165&766 + 2&948 = 168&714

P3 = 165&766 + 2&979 = 168&745

5, Pa(ok P4

P4a = 163&508 + 2&587 = 166&0956, 'a(ok P5

P5a = 161&459 + !1&085, = 160&374


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theodolid 7

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