Question

Mr. Fawcett is building a ramp for loading motorcycles onto a

trailer. The trailer is 2.8 feet off the ground. To avoid making
it too difficult to push a motorcycle off the ramp, Mr. Fawcett
decides to make the angle between the ramp and the ground
15°. To the nearest hundredth of a foot, find the length of
a
the ramp.

Answer 1

10.82 ft

Explanation:

The angle is 15°.

The opposite leg is 2.8 ft.

The length of the ramp is the hypotenuse.

sin A = opp/hyp

sin 15° = 2.8/hyp

hyp = 2.8/sin 15°

hyp = 10.82 ft