Question

25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp

reaches to the top of a 22 inch high porch, how long is the ramp?
79.82 in.
76.81 in.
73.82 in.
81.5 in.

Answer 1

C. 76.81

Explanation:

We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is
`(opposite)/(adjacent)`:

`tan (16)=(22)/(L) \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\`

`(L*tan(16))/(tan(16))=(22)/(tan(16) \\\\L=79.815=79.82 in.`