Question

A skateboarding ramp is 12 in. high and rises at an angle of 11​°. How long is the base of the​ ramp? Round to the nearest inch.

Answer 1

62 inches

Explanation:

The side opposite the angle is given, and the length of the side adjacent to the angle is asked for. The appropriate trig relation is ...

Tan = Opposite/Adjacent

tan(11°) = (12 in)/(base length)

Solving for base length gives ...

base length = (12 in)/tan(11°) ≈ 61.73 in

The base of the ramp is about 62 inches long.