QUESTION 1 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 BC. EC A Not to Scale 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 COORDINATE LIST (LOCAL SYSTEM) LINE DIRECTIONS DISTANCES 1 000,00 3 000,00 K KA 64 45 34 532,88 1 482,00+ 3 227,23 A 764,38 300 35 57 273.738 L 3 139,34 KL + 1.1 Calculate the join AL Join AL (6) Checked by means of a Polar A +1 482,00 3 227.23 A 1 482,00 +3 227,23 L 764,38 3 139,34 L 1.2 The two straights AK and KL are rounded off with a single curve of radius 500,000m Calculate the Total deflection angle (intersection angle) (1) INTERSECTION ANGLE LINE DIRECTION 244 45 34 AK KL 300 35 57 Calculate the directions and distances to be able to calculate a traverse K BC EC K 1.3 (4) Line Tangent lengths (T) Chord length (C) Directions K BC C = T = BC EC C = EC K 1.4 Calculate the traverse K - BC - EC - K to determine the coordinates of BC and EC (11) 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 +3 000,00 +1 000,00 64 45 34 264,960 m 272 40 46 EC 468.236m K' 120 35 57 K 264,960 m 3 000,00 1 000,00 Calculate the area of the triangle K- BC EC from the coordinates, in hectares (5) 1.5 Sum A Point Y X Sum B = K 1 000,00 3 000,00 Area= m2 Area Area ha 1 000.00 3 000,00 QUESTION 1 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 BC. EC A Not to Scale 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 COORDINATE LIST (LOCAL SYSTEM) LINE DIRECTIONS DISTANCES 1 000,00 3 000,00 K KA 64 45 34 532,88 1 482,00+ 3 227,23 A 764,38 300 35 57 273.738 L 3 139,34 KL + 1.1 Calculate the join AL Join AL (6) Checked by means of a Polar A +1 482,00 3 227.23 A 1 482,00 +3 227,23 L 764,38 3 139,34 L 1.2 The two straights AK and KL are rounded off with a single curve of radius 500,000m Calculate the Total deflection angle (intersection angle) (1) INTERSECTION ANGLE LINE DIRECTION 244 45 34 AK KL 300 35 57 Calculate the directions and distances to be able to calculate a traverse K BC EC K 1.3 (4) Line Tangent lengths (T) Chord length (C) Directions K BC C = T = BC EC C = EC K 1.4 Calculate the traverse K - BC - EC - K to determine the coordinates of BC and EC (11) 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 +3 000,00 +1 000,00 64 45 34 264,960 m 272 40 46 EC 468.236m K' 120 35 57 K 264,960 m 3 000,00 1 000,00 Calculate the area of the triangle K- BC EC from the coordinates, in hectares (5) 1.5 Sum A Point Y X Sum B = K 1 000,00 3 000,00 Area= m2 Area Area ha 1 000.00 3 000,00