Question

One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point

If the length of the ramp is 8 feet, what is the approximate measure of the
angle the ramp makes with the ground? Round your answer to the nearest
tenth of a degree.
38.7°
58.0°
32.0
51.3

Answer 1

38.7°

Explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

`sin (\alpha) = opposite / hypothenuse= 5 ft/8ft`

which is equivalent to

`\alpha = sin^(-1)(5/8)\approx 38.7\deg`