Question

Octavo: A total station was set up at control station K, which is within the limits of a five-sided property. The coordinates of station K are 50.000 m E, 20.000 m N. Azimuth angles, polar distances from Station K to the five property corner stations, and computed corner coordinates are shown in the following table. Compute the bearings (to the closest second) and distances (to three decimals) of the five sides of the property. (10 mark Line from K Latitude Departure Station Coordinates Station/Distance K (Given) Azimuth Length AE AN Northing Easting 50.000 m 20.000 m 286'51'30 44.482 m KA 42.570 m 12.900 m 7.430 m 32.900 m 41.892 m кв 37 35'28 33.195 m 25.555 m 75.555 m 53.195 m кс 90'2756" 48.286 m 48.284 m 0.392 m 98.284 m 19.608 m 166 2649 кр 40.916 m 9.588 m -39.777 m 59.588 m -19.777 m KE 247 2843 42 585 m -39.337 m -16.311 m 10.663 m 3.689 m Point 1 Point 2 Side Azimuth Quadrant Bearing AE Length AN tan E: N Adjustment (°") AB BC CD DE EA

Answer 1

Solutions Station Line from k To Departure Latitude station Coordinates Easting | Northing stance imuth brength Azimuth AN 50.000 20.000 m KA 286°513044.4826 -42.570m 12. 900m 6.430m 32. 9oom KB 37°35' 28" 29.892 m 95.585m | 33. 195m 75.555m 53.1957 70°27'56"|48.286 m 48. 284m -0.392m 98.284m 19.608 m KD 16626'49" 40.916m 9.588 m - 39.7777 59.588m -19.7277 KE 249.28'43"|42.585ml -39.337 m -16.311 m | 3.6897 10. 663 m

find coordinate A :- Northing of A - Northing of k + Latitude of KA 20.000m +12.900 m - 32.9m of a = Easting Easting of k + Depature of KA = 50.000 m - 42.570m 7.43 m Find Codicote 8 :- Northing of B Northing of k + latitude of kB 32.900 m + 33.1957 = 66.095m Easting of k + Desature of KB Easting of B - + 25. 555m +.430 m 32.985 find coordinate ? Northing of k + Latitude of ko of c: Northing . 19.608m + (-0.392m) 19.216m Easting of k + Depature of ke of thing c = 98.284 m + 48.284m 146,5687

find coordinates mb ó- Marthing of 0 = Northing of k + latitude of ko . -19,777 m + (-39.717M) = 59.554m Easting of D - Easting of k + bepature of Ko - 59.588m + 9.588m) 69.176m find Morthing Coordinates de la of 6 = Northing of E+ Latitude of ke - C 3.689 m + (-16.311 m) -12.622m Easting of Et bepature of KĘ Easting of E = - 10,663 m + (-34.337 m) * - 28.6747
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