A horizontal curve is to be designed for a two-lane road in mountainous terrain. The following data are known: Intersection angle: 40 degrees, tangent length = 436.76 ft, station of PI: 2700+10.65, fs = 0.12, e = 0.08. Determine: (a) design speed (b) station of the PC (c) station of the PT (d) deflection angle and chord length to the first 100 ft station