Question

A wheelchair ramp rises from the ground at a 4.5° angle of elevation. The end of the ramp is 3 ft above the ground.

How long is the ramp?
Round your answer to the nearest tenth of a foot.
A. 12.9
B. 13.5
C. 23.6
D. 38.2

Answer 1

D.38.2

Explanation:

Answer 2

See attached file for the drawing and illustration of the given problem.
I have assigned "X" to be the length of the ramp.

We can use and apply SOH CAH TOA to find the value of x. The solution is shown below:
sin4.5 ° = 3 / x
x = 3/sin4.5
x= 38.2°

The answer is the letter "D".