The road constructed on a civil engineering construction cuts off an un-economical portion of the property of a land owner. The sketch below shows the existing boundary lines AK and KL. K 1.2 A COORDINATE LIST (LOCAL SYSTEM) K + 1 000,00 + 3 000,00 KA A + 1 482,00 + L 764,38 + 1.1 Calculate the join AL The coordinate list below shows the coordinates of the boundary points A, K and L as well as the calculated join direction and distance of the line KA LINE BC. AK KL A +1 482,00 + 3 227,23 L+ 764,38 +3 139,34 Line 3 227,23 3 139,34 KL Join AL K-BC BC - EC EC-K EC Not to Scale Directions L The two straights AK and KL are rounded off with a single curve of radius 500,000m Calculate the Total deflection angle (intersection angle) LINE INTERSECTION ANGLE DIRECTIONS DISTANCES 64 45 34 532,88 DIRECTION 244 45 34 1. 300 35 57 1.3 Calculate the directions and distances to be able to calculate a traverse K-BC-EC-K 300 35 57 273,738 Checked by means of a Polar A +1 482,00 +3 227,23 T= Tangent lengths (T) Chord length (C) T = C = C = 1.4 Calculate the traverse K-BC-EC-K to determine the coordinates of BC and EC Note that you are using derived (calculated) directions and distances - not observed. Technically you should therefore close exactly on K again. If there is a very small ey and ex ignore it! Do not apply Bowditch correction. Calculate directly the coordinates of BC and EC from the calculated AY's and AX's 64 45 34 264,960 m 272 40 46 468,236m 120 35 57 264,960 m m ha Point K K K BC EC 1.5 Calculate the area of the triangle K-BC-EC from the coordinates, in hectares Sum A = Y Sum B = Area = Area = Area = K' K +1 000,00 + 1 000,00 +1 000,00 +1 000,00 +3 000,00 X + 3 000,00 + 3 000,00 + 3 000,00