According to the Americans with Disabilities Act, a ramp cannot have an incline that is greater than 5°. The regulations also state that the maximum rise of a ramp is 30 inches. When a ramp needs to reach a height greater than 30 inches, a series of ramps connected by 60 inch landings can be used, as shown below.

a. What is the maximum horizontal length of the base of one ramp, in feet? Round to the nearest foot. 

b. If a doorway is 7.5 feet above the ground, what is the least number of ramps and landings you will need to lead to the doorway? Draw and label a diagram to justify your answer. 

c. To the nearest foot, what is the total length of the base of the system of ramps and landings in part (b)?

Transcribed Image Text:

-30 in. 5° 60 in. 30 in. 5°