Question

A riding lawnmower can drive up a 27º incline. In order for a ramp designed to reach a truck bed that is 3 feet above the ground to have a 27º incline, how long should the ramp be?

a. 3.37 ft
b. 5.89 ft
c. 6.61 ft
d. 9 ft

Answer 1

draw a triangle

Answer 2

sin ( 3 / x) = 27
x= hypotneuse

Answer 3

answer c. 6.61

Answer 4

\[\text{rampLength} =3\text{ }\text{Csc}[27{}^{\circ}]=6.61 \text{feet} \]