Question

A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1
foot above the ground. The distance along the ramp to the building is 5
feet. What is the angle of elevation of the ramp to the nearest degree?

Answer 1

Let θ be the angle of elevation. Then sin θ = opposite/hypotenuse = 1/5 = 0.2, so

θ = arcsin(0.2) ≈ 11.54°,

which rounds to 12°.