Question

Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?

Answer 1

J

Explanation:

Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.

`\textcolor{steelblue}{ \sinθ = (opp)/(hyp) }`

Let the length of the ramp be x.

`\sin5° = (3)/(x)`

Multiply x on both sides:

x(sin5°)= 3

`x = (3)/( \sin5°)`

x= 34.4 (3 s.f.)

Thus, the length of the ramp is 34 ft. (nearest foot)