Question

According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What is the maximum angle that the ramp can form with the ground? a. 4.8º c. 5.0º b. 2.7º d. 3.7º

Answer 1

A. 4.8°

Explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

`\tan x=(perpendicular)/(base)`

i.e.
`\tan x=(1)/(12)`

i.e.
`\tan x=0.0833`

i.e.
`x=\arctan 0.0833`

i.e. x = 4.8°

Thus, the maximum angle made by the ramp with the ground is 4.8°.