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 a ramp can form with the ground?

Answer 1

4.76 degrees; tan(-) =1/12 –> tan (inverse) 1/12 = 4.76 degrees

I used (-) as theta; you solve this using your calculator

Answer 2

The maximum angle that a ramp can form with the ground is 4.76°.

Explanation:

Assuming the ramp as a right-angled triangle, and letting the horizontal distance being the leg adjacent and the vertical distance the leg opposite, then the tangent to the ramp angle will be:

`tg(a) = adj/opp`

The angle a is solving by the inverse of the leg's rate:

`a = tg^(-1)(adj/opp)`

`a = tg^(-1)(1 ft / 12 ft) = tg^(-1)(0.83) = 4.72\°`