A section of a freeway ramp has a +4.0% grade and ends at station 127 + 00 and elevation 138 ft. It must be connected to another section of the ramp (which has a 0.0% grade) that is at station 162 + 00 and elevation 97 ft. It is determined that the crest and sag curves required to connect the ramp should be connected (the PVT of the crest and PVC of the sag) with a constant-grade section that has the lowest grade possible.
Design a vertical alignment to connect between these two stations using a 50-mi/h design speed. Provide the lengths of the curves and constant grade section.