Question

A ramp 35 ft long rises to a platform. The bottom of the platform is 18 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree. (PLZ HELP I NEED HELP!)​

Answer 1

`x\approx 59.1^\circ`

Explanation:

Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:

`\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}`

The adjacent side is 18 and the hypotenuse is 35. Substitute:

`\displaystyle \cos x=(18)/(35)`

Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:

`\displaystyle x=\cos^(-1)(18)/(35)\approx59.1^\circ`