One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
1 answer:
Answer:
38.7°
Step-by-step 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](https://tex.z-dn.net/?f=sin%20%28%5Calpha%29%20%3D%20opposite%20%2F%20hypothenuse%3D%205%20ft%2F8ft)
which is equivalent to
![\alpha = sin^{-1}(5/8)\approx 38.7\deg](https://tex.z-dn.net/?f=%5Calpha%20%3D%20sin%5E%7B-1%7D%285%2F8%29%5Capprox%2038.7%5Cdeg)
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