Question

Mr. Verloove needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75 degrees.

Mr. Verloove has plans from the planning department that call for the ramp to start 25 feet away from the building. Will this ramp meet the state building code?

Answer 1

9514 1404 383

Answer:

no

Explanation:

The angle of the ramp as designed by the planning department is ...

tan(angle) = (3 ft)/(25 ft)

angle = arctan(3/25) ≈ 6.84°

This angle exceeds the required 4.75°, so does not meet code.