Question

A ramp 23ft long rises to a platform. The bottom of the platform is 11ft 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

61.4°

Explanation

Given

Length of the ramp = 23ft = hypotenuse

Base of the ramp = 11ft = Adjacent

Required

Angle of elevation x

Using the SOH CAH TOA identity

Cos theta =adj/hyp

Cos x = 11/23

Cos x = 0.4782

x = arccos0.4782

x = 61.42°

Hence the angle of elevation is 61.4°