2. The azimuths of the back and forward tangents of a simple curve are N. 120 35' E. and S. 650 55' E. respectively . A line with bearing S 690 22' W intersects the forward tangent at a point 28.086 meters from the PT of the simple curve and the simple curve at point Z. If the long chord of the simple curve is 120.147 meters and stationing of V is at station 50 + 134, what would be the stationing of point Z and PT? Determine the numerical value of the unknown elements of the simple curve. Use arc definition.

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Curve setting

A curve is a turn that is provided horizontally or vertically in the design of highways, railways, and runways. A curve connects two straight lines that are separated by the deflection angle. It helps to change the direction and alignment of the highways, railway tracks, and runways. Therefore, the gradual change in their alignment is made by using a curve to provide comfort to the passengers and this also provides an easy turn to change the direction of the moving vehicle.