The entrance to Salt Lake City (elevation 3,075 ft at the point of crossing) is grade
separated from interstate highway (elevation 3,050 ft at the point of crossing) and will have to
be connected. The two roadways intersect at a right angle. The entrance to the lake has a
constant +5.5% grade westward. Interstate highway has a constant -1.0% grade southward.
Engineer Ali needs to connect the southbound direction of travel to the westbound direction
of travel and needs to take into consideration slippery ice conditions in the winter, and so the
maximum degree of curvature can be at most 6.0 and the superelevation can be at most
+6.0%. Design the ramp for the highest horizontal curve design speed given the constraints.