Question

Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet off the ground. To avoid making is too difficult to push the motorcycle up the ramp, decides to make the angle between the ramp and the ground 15°. To the nearest tenght of a foot,find the length of the ramp

Answer 1

Using the given information, we can make a diagram

To find the ramp length (x), we have to use the sine function, which is equivalent to the ratio between the opposite leg (2.8) and the hypotenuse (x).

`\begin{gathered} \sin 15=(2.8)/(x) \\ x=(2.8)/(\sin 15)\approx10.8 \end{gathered}`

Hence, the length of the ramp is 10.8 feet.