Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 8 feet for every 96 feet of horizontal distance.

(a) What is the value of the slope of a ramp for the handicapped?

(b) If the builder constructs a new building in which the ramp has a horizontal distance of
84 feet, what is the maximum height of the doorway above the level of the parking lot where the ramp begins?

(c) What is the shortest possible distance between the building and the end of the ramp if the architect redesigns the building so that the doorway is 1.8 feet above the parking lot?