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SISTEM KOORDINAT HORISONTAL

SISTEM KOORDINAT HORISONTAL. 1. Sistem Koordinat Lokal 2. Sistem Koordinat Umum. SISTEM KOORDINAT LOKAL. A. KARTESIAN (XY). A. X AB. Y // U. Y. U kompas. . B. . X B. X C. . Y B. C (X C ,Y C ). . . . C. X C. Y C. A (0,0). Y C. . . X. X. A (0,0).

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SISTEM KOORDINAT HORISONTAL

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  1. SISTEM KOORDINAT HORISONTAL • 1. Sistem Koordinat Lokal • 2. Sistem Koordinat Umum

  2. SISTEM KOORDINAT LOKAL A. KARTESIAN (XY) A XAB Y // U Y U kompas  B  XB XC  YB C (XC,YC)    C XC YC A (0,0) YC   X X A (0,0)

  3. METODE PENENTUAN POSISI HORISONTAL • Menentukan koordinat titik baru dari satu atau beberapa titik yg telah diketahui koordinatnya • Dikelompokkan dalam : 1. Metode penentuan titik tunggal (satu titik) 2. Metode penentuan banyak titik

  4. Metode PenentuanSatu Titik • Metode Polar • Metode Perpotongan ke muka • Metode Perpotongan ke belakang

  5. Metode Penentuan Banyak Titik • Metode Polygoon • Metode Triangulasi • Metode Trilaterasi

  6. METODE POLAR Data : Koordinat A : (XA,YA) --- diketahui Jarak mendatar (dAB) Sudut jurusan AB : AB Dicari : Koordinat B (XB,YB) = ? Dihitung dgn rumus : XB = XA + XAB YB = YA + YAB Y B  YB dAB YAB Dimana XAB = dAB Sin AB YAB = dAB Cos AB AB  XB XAB Sehingga : XB = XA + dAB Sin AB YB = YA + dAB Cos AB A  X O XA XB

  7. METODE PERPOTONGAN KE MUKA Data : Koordinat A(XA,YA) dan B(XB,YB) –- minimal 2 ttk diketahui Sudut di A = (1) dan B = 2) – diukur dgn alat Dicari : Koordinat C (XC,YC) = ? Dihitung dgn rumus SINUS :  = 1800 – (1+ 2) dAB= (XB – XA)2 + (YB – YA)2]½ dAC = dAB/Sin  x Sin 2 dBC = dAB/Sin  x Sin 1 Y YB XBC XAB C   dAC YAC AC BC t  (XB – XA) AB = arc tan (YB – YA) XB 1 A dBC 2  YAB dAB  T  AC = AB - 1 BC = AB + 2– 1800 B X O XA XB Dr ttk B Dr ttk A Sehingga : XC = XA + dAC Sin AC = XB + dBC Sin BC YC = YA + dAC Cos AC = YB + dBC Cos BC

  8. METODE PERPOTONGAN KE MUKA Data : Koordinat A(XA,YA) dan B(XB,YB) –- minimal 2 ttk diketahui Sudut di A = (1) dan B = 2) – diukur dgn alat Dicari : Koordinat C (XC,YC) = ? Dihitung dgn rumus TANGENS : AC = AB - 1 BC = AB + 2– 1800 XAB Tan BC = YAC Tan BC = … (1) YAB +YAC XBC + XAB Tan AC = YAC Tan AC = … (2) YAC Y YB XBC XAB C   dAC YAC AC BC t  XB 1 A dBC 2  YAB dAB  T (2) – (1) XAB + YAB Tan BC YAC = Tan AC - Tan BC  B O X XA XB XAC Tan AC= YAC XC = XA + XAC = YACTan AC YC = YA + YAC

  9. METODE PERPOTONGAN KE MUKA Data : Koordinat A(XA,YA) dan B(XB,YB) –- minimal 2 ttk diketahui Sudut di A = (1) dan B = 2) – diukur dgn alat Dicari : Koordinat C (XC,YC) = ? Dihitung dgn pertolongan Garis TINGGI AC = AB - 1 BC = AB + 2– 1800 XAB Tan BC = YAC Tan BC = … (1) YAB +YAC XBC + XAB Tan AC = YAC Tan AC = … (2) YAC Y YB XBC XAB C   dAC YAC AC BC t  XB 1 A dBC 2  YAB dAB  T (2) – (1) XAB + YAB Tan BC YAC = Tan AC - Tan BC  B O X XA XB XAC Tan AC= YAC XC = XA + XAC = YACTan AC YC = YA + YAC

  10. 1. Diket titik A(10,10) m Sdt jur AB = 900 Jarak mendatar AB = 100 m Koordinat B (XB, YB) = ?? 2. Diket titik A(10N,10N) m Sdt jur AB = 900 Jarak mendatar AB = 100 m Koordinat B (XB, YB) = ??

  11. 3. Diket titik A(10,10) m ; B(10,70) Sdt BAC = Sdt ABC = 600 Koordinat C (XC, YC) = ?? 4. Diket titik A(-10,-10) m ; B(-10,-70) Sdt BAC = Sdt ABC = 600 Koordinat C (XC, YC) = ??

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