Design a vertical curve connecting PVI₁ (station = 4+980, Elevation = 198 m), PVI₂ (station = 5+990, Elevation = 163 m) and PVI₃ (station = 6+400, Elevation = 140 m) for an Illuminated road with a design speed of 90 km/h. Compute road elevations at 20 m even stations, station and elevation of high point on the curve. START YOUR SOLUTION WITH A QUALITATIVE SKETCH

For a highway curve with Da = 5°00', I = 20°30', and Pl station = 63 +25.53 ft, calculate the requested values to lay out the circular curve at full stations (100 ft). Part A Calculate the radius. Express your answer to two decimal places and include appropriate units. R= Part B μA L = Value Calculate the circular curve length. Express your answer to two decimal places and include appropriate units. μA Units Value ? Units ?

Vertical highway curve: Given PVI at 128 + 00, L = 1,000 ft, g1 = -5%, g2 = +4%, and PVI elevation= 457.25 ft, compute the elevations of the curve low point and the 100 ft stations (meansstations 124+00, 125+00, etc. until reaching the end of the curve) as well as for the beginningand end of the curve.

Given a transition curve length of 85.500m, a design radius of 620.000m, a deflection angle of 95 degrees and that the two tangents intersect at chainage 1000.000m. Calculate the station value (chainage) of the TS. Note: Your answer should be provided to THREE decimal places.