Question

A bike ramp is constructed such that a 5-foot launching ramp makes a 30° angle with the ground.

What is the measure of angle θ ?


Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answer 1

Θ = 18.2°

Explanation:

Using the law of sines in the triangle

`(5)/(sintheta)` =
`(8)/(sin30)` ( cross- multiply )

8 × sinΘ = 5sin30° ( divide both sides by 8 )

sinΘ =
`(5sin30)/(8)` = 0.3125

Θ =
`sin^(-1)`(0.3125) ≈ 18.2° ( nearest tenth )