Question

A skateboarder wants to build a ramp to get over a cement wall. The height of the wall is 10 feet. If the ramp is 20 feet long, what is the angle of elevation between the ground and the ramp?

Answer 1

θ = 30°

Angle of elevation is 30°

Explanation:

Given;

Height of wall w = 10 ft

Length of ramp l = 20 ft

Angle of elevation = θ

Applying trigonometry;

Sinθ = opposite/hypothenuse

Where;

Height of wall w = opposite (it's opposite the angle of elevation)

Length of ramp l = hypothenuse

Sinθ = w/l

θ = arcsine (w/l)

Substituting the values;

θ = arcsine (10/20)

θ = arcsine (0.5)

θ = 30°

Angle of elevation is 30°