4.1
Pengolahan Data 4.5.1. Menghitung ∑β ∑β = βB+ βC + βD + βE + βF + βG + βH = 221°26’ + 229°55’ + 248°6’ + 215°3’ + 252°40’ + 185°44’ + 183°30’ = 1896°5’ 4.5.2. Menghitung f α f α = (α AH - α AB) - ∑β + (n x 180°) = (129°32’ - 230°31’) - 1896°5’ + (9 x 180°) = 377°4’0’’ 4.5.3. Menghitung Besar Sudut β̅ fα ̅̅̅ βB = βB + n
= 221°26’ +
377°4’0" 7
= 167°5’
̅̅̅ βC = βC +
fα n
= 229°55’ +
377°4’0" 7
= 175°59’
̅β̅̅D̅ = βD +
fα n
= 248°6’ + = 194°11’
̅̅̅ βE = βE +
fα n
377°4’0" 7
377°4’0"
= 215°3’ +
7
= 161°8’
̅̅̅ βF = βF +
fα n
= 252°40’ +
377°4’0" 7
= 198°44’
̅̅̅ βG = βG +
fα n
= 185°44’ +
377°4’0" 7
= 131°49’
̅̅̅H̅ = βH + β
fα n
= 183°30’ +
377°4’0" 7
= 129°32’
4.5.4. Menghitung Azimuth ∝ ̅̅̅̅ = α AB + ̅̅̅ αBC βB - (180° x n) = 230°31’ + 167°5' – (180° x 2) = 141°58’ ̅̅̅̅ = αBC ̅̅̅̅ + ̅̅̅ αCD βC - (180° x n) = 141°58’ + 175°59’ – (180° x 1) = 145°58’ ̅̅̅̅ + ̅β̅̅D̅ - (180° x n) ̅̅̅̅ = αCD αDE = 145°58’ + 194°11’ - (180° x 1) = 131°46’ ̅̅̅̅ = αDE ̅̅̅̅ + ̅̅̅ αEF βE - (180° x n)
= 131°46’ + 161°8’ – (180° x 1) = 150°40’ ̅̅̅̅ = αEF ̅̅̅̅ + ̅̅̅ αFG βF - (180° x n) = 150°40’ + 198°44’ – (180° x 1) = 131°55’
̅̅̅̅ = αFG ̅̅̅̅ + ̅̅̅ αGH βG - (180° x n) = 131°55’ + 131°49’ – (180° x 3/2) = 270°5’ ̅̅̅̅ ̅̅̅̅ = αGH ̅̅̅̅ + β αAH H - (180° x n) = 270°5’ + 183°32’ – (180° x 1/2) = 230°31’
4.5.5. Menghitung Selisih Absis dan Ordinat ∆x AB = dAB sin α ̅̅̅̅ AB = 24 sin 230°31’ = -1.852342989 ∆x BC = dBC sin α ̅̅̅̅ BC = 36 sin 141°58’ = -22.17913507
∆x CD = dCD sin α ̅̅̅̅ CD = 24 sin 145°58’ = -13.43054992 ∆x DE = dDE sin α ̅̅̅̅ DE
= 17 sin 130°46’ = -12.67497529 ̅̅̅̅ ∆x EF = dEF sin α EF = 34 sin 150°40’ = -16.65994548 ̅̅̅̅ ∆x FG = dFG sin α FG = 19 sin 131°55’ = -14.13928263 ̅̅̅̅ ∆x GH = dGH sin α GH = 14 sin 270°5’ = 13.99997968 ∆x AH = dAH sin α ̅̅̅̅ AH = 11 sin 230°31’ = 8.489905366 ∆y AB = dAB cos α ̅̅̅̅ AB = 24 cos 230°31’ = -1.52605 ∆y BC = dBC cos α ̅̅̅̅ BC = 36 cos 141°58’ = -28.3564
∆y CD = dCD cos α ̅̅̅̅ CD = 24 cos 145°58’ = -19.8902 ∆y DE = dDE cos α ̅̅̅̅ DE
= 17 cos 131°46’ = -11.3289 ̅̅̅̅ ∆y EF = dEF cos α EF = 34 cos 150°40’ = -29.6386 ̅̅̅̅ ∆y FG = dFG cos α FG = 19 cos 131°55’ = -12.6918 ̅̅̅̅ ∆y GH = dGH cos α GH = 14 cos 270°5’ = 0.023853 ∆y AH = dAH cos α ̅̅̅̅ AH = 11 cos 230°31’ = - 6.99439
4.6.6 Menghitung Selisih Absis dan Ordinat yang sudah di koreksi ̅̅̅̅̅̅̅ = ∆XAB + 𝑑𝐴𝐵 x fα ∆XAB ∑𝑑 24
= -18.52342989 + 179 x 129.5833333 = - 5.984038642
𝑑𝐵𝐶 ̅̅̅̅̅̅̅ ∆XBC = ∆XBC + ∑ 𝑑 x fα 36
= -22.17913507 + 179 x 129.5833333 = 6.575437381 ̅̅̅̅̅̅̅ = ∆XCD + 𝑑𝐶𝐷 x fα ∆XCD ∑𝑑 24
= -13.43054992 + 179 x 129.5833333 = 3.405831713 𝑑𝐷𝐸 ̅̅̅̅̅̅̅ ∆XDE = ∆XDE + ∑ 𝑑 x fα 17
= -12.67497529 + 179 x 129.5833333 = 1.005795 𝑑𝐸𝐹 ̅̅̅̅̅̅̅ ∆XEF = ∆XEF + ∑ 𝑑 x fα
= -16.65994548 +
34 179
x 129.5833333
= 6.241595 ̅̅̅̅̅̅̅ = ∆XFG + 𝑑𝐹𝐺 x fα ∆XFG ∑𝑑 19
= -14.13928263 + 179 x 129.5833333 = -6.93548 𝑑𝐺𝐻 ̅̅̅̅̅̅̅̅ ∆XGH = ∆XGH + ∑ x fα 𝑑
14
= -13.999999 + 179 x 129.5833333 = -16.3712 ̅̅̅̅̅̅̅̅ = ∆XHA + 𝑑𝐻𝐴 x fα ∆XHA ∑𝑑 11
= 8.4899 + 179 x 129.5833333 = 12.08158
24 ̅̅̅̅̅̅̅ ∆YAB = ∆YAB + ∑ 𝑑 x fα 24
= -1.52605 + 179 x 129.5833333 = 13.27652 ̅̅̅̅̅̅̅ = ∆YBC + 𝑑𝐵𝐶 x fα ∆YBC ∑𝑑 36
= -28.3564 + 179 x 129.5833333 = 4.847445 𝑑𝐶𝐷 ̅̅̅̅̅̅̅ ∆YCD = ∆YCD + ∑ 𝑑 x fα 24
= -19.8902 + 179 x 129.5833333 = 1.912363 ̅̅̅̅̅̅̅ = ∆YDE + 𝑑𝐷𝐸 x fα ∆YDE ∑𝑑 17
= -11.3289+ 179 x 129.5833333 = -4.84379 𝑑𝐸𝐹 ̅̅̅̅̅̅̅ ∆YEF = ∆YEF + ∑ 𝑑 x fα 34
= -29.6386 + 179 x 129.5833333 = -7.26829 ̅̅̅̅̅̅̅ = ∆YFG + 𝑑𝐹𝐺 x fα ∆YFG ∑𝑑 19
= -12.6918 + 179 x 129.5833333 = -0.97306 ̅̅̅̅̅̅̅̅ = ∆YGH + 𝑑𝐺𝐻 x fα ∆YGH ∑𝑑 14
= 0.023853 + 179 x 129.5833333
= 8.658685 ̅̅̅̅̅̅̅̅ = ∆YHA + 𝑑𝐻𝐴 x fα ∆YHA ∑𝑑 11
= -6.99439 + 179 x 129.5833333 = -0.20988
4.5.6. Menghitung Koordinat Tiap Titik
XA = 0 XB = XA + ∆x AB = 0+ (-5.984038642 )
= -5.984038642 XC = XB + ∆x BC = (-5.984038642) + 6.828410655 = 0.844372
XD = XC + ∆x CD = 0.844372 + 3.405831713 = 4.250204
XE = XD + ∆x DE 4.250204 + 6.005795033
= 10.256
XF = XD + ∆x EF = 10.256 + 2.241595157 = 12.49759
XG = XF + ∆x FG = 12.49759 + (-1.935480505) = 10.56211
XH = XG + ∆x GH = 10.56211+ (-4.371242938) = 6.19087
AH = XH + ∆x AH = 6.19087+ (-6.19087) =0
YA= 0 YB = YA + ∆y AB = 0 + 13.27652 = 13.27652 YC = YC + ∆y BC = 13.27652 + 4.847445 = 18.12396566
YD = YC + ∆y CD = 18.12396566 + 1.91239
= 20.0363558 YE = YD + ∆y DE = 20.0363558 + 5.156208 = 25.19253675
YF = YE + ∆y EF = 25.19253675 + (-5.26829) = 19.92425046 YG = YF + ∆y FG =19.92425046 + (-7.71989) = 12.20436392
YH = YG + ∆y GH = 12.20436392 + -4.61098 = 7.593384421
YA = YH + ∆y HA = 7.593384421 + (-7.593384421) =0
Koordinat x,y
A = (0,0) B = (-5.984038642 ,13.27652) C = (0.844372 , 18.12396566) D = (4.250204, 20.0363285) E = (10.256 , 25.19253675) F = (12.49759, 19.92425046) G = (10.56211, 12.20436392) H = (6.19087, 7.593384421) A = (0,0)
5.7 Kesimpulan Dari praktikum pemetaan lahan terapan yang telah dilaksanakan, dapat ditarik kesimpulan antara lain : 1.
Pengukuran yang digunakan adalah pengukuran theodolit tertutup.
2.
Dari data praktikum theodolit dapat diambil beberapa hal, yaitu : sudut, jarak dan azimut dai suatu daerah.
3.
Dari azimut yang didapatkan dapat diketahui koordinat titik – titik theodolit yang akan diplotkan ke kertas gambar.
4.
Kesalahan perhitungan theodolit dapat disebabkan oleh 3 faktor yaitu : faktor manusia (human error), faktor alat dan faktor alam.
5.
Berikut adalah nilai X dan Y yang telah didapat:
XA
=0
XB
= -5.98404
XC
= 0.844372
XD
= 4.250204
XE
= 10.256
XF
= 12.49759
XG
= 10.56211
XH
= 6.19087
XA
= 0
YA
=0
YB
= 13.27652074
YC
= 18.12396566
YD
= 20.0363285
YE
= 25.19253675
YF
=19.92425046
YG
= 12.20436392
YH
= 7.593384421
YA
=0