Question

A ramp 31ft long raises to a platform. the bottom of the platform is 16ft 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.

Answer 1

the answer is 26.6 ft because 31×31 - 16×16 is 705 and the square root of 705 is 26.55183609

Answer 2

The angle of elevation of the ramp (x) is approximately 58.9 degrees.

How to find the angle of elevation

To find the angle of elevation (x) of the ramp using the cosine function,

cos(x) = adjacent / hypotenuse

Given:

Adjacent side = 16 ft

Hypotenuse = 31 ft

Plug in these values into the formula

cos(x) = 16 / 31

To find x, take the inverse cosine (arccos) of both sides:

x = arccos(16 / 31)

Using a calculator, arccos(16 / 31) is approximately 58.9 degrees.

Therefore, rounding to the nearest tenth of a degree, the angle of elevation of the ramp (x) is approximately 58.9 degrees.