a) The following offsets, 8 m apart, were measured at right angles from a traverse line...

 

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a) The following offsets, 8 m apart, were measured at right angles from a traverse line to an irregular boundary. Om 2.3m 5.5m 7.9m 8.6m 6.9m 7.3m 6.2m 3.1m 0m i. ii. Why is not prudent to use area by coordinates method. Calculate the area between the traverse line and the irregular boundary using the trapezoidal rule. CR[6] b) Grafton Town complies with directives that ensure that sight distances are laid down in the interests of road safety. The regulations elucidate on the following. Let two points on the curve at a height h from the ground be intervisible, and let the distance between them be S. The sightline is taken to pass tangentially through D parallel to AC and the sight distance thus represents the length of road over which an observer whose eye level is h above the road surface can just see an object h above the surface On the other side of the crest to the observer. A value Of 1.05 m is usually taken as the eye-level height above the road surface for an observer sitting in a motor car. If S = 4L p = 1 per cent and q = -1 per cent h = 1.05 m, i) calculate I and ii) the equation for offsets to the tangent. M 7 +p% B D E S -9% EV[8] c) Assuming the following for question 4 b) complete the table for the offset from the tangent. Chainage 2674.67 2680.00 2700.00 2720.00 5.33 25.33 0 45.33 2740.00 65.33 2758.00 83.33 a) The following offsets, 8 m apart, were measured at right angles from a traverse line to an irregular boundary. Om 2.3m 5.5m 7.9m 8.6m 6.9m 7.3m 6.2m 3.1m 0m i. ii. Why is not prudent to use area by coordinates method. Calculate the area between the traverse line and the irregular boundary using the trapezoidal rule. CR[6] b) Grafton Town complies with directives that ensure that sight distances are laid down in the interests of road safety. The regulations elucidate on the following. Let two points on the curve at a height h from the ground be intervisible, and let the distance between them be S. The sightline is taken to pass tangentially through D parallel to AC and the sight distance thus represents the length of road over which an observer whose eye level is h above the road surface can just see an object h above the surface On the other side of the crest to the observer. A value Of 1.05 m is usually taken as the eye-level height above the road surface for an observer sitting in a motor car. If S = 4L p = 1 per cent and q = -1 per cent h = 1.05 m, i) calculate I and ii) the equation for offsets to the tangent. M 7 +p% B D E S -9% EV[8] c) Assuming the following for question 4 b) complete the table for the offset from the tangent. Chainage 2674.67 2680.00 2700.00 2720.00 5.33 25.33 0 45.33 2740.00 65.33 2758.00 83.33