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

Answer:

Θ = 18.2°

Step-by-step explanation:

Using the law of sines in the triangle

$\frac{5}{sintheta}$ = $\frac{8}{sin30}$ ( cross- multiply )

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

sinΘ = $\frac{5sin30}{8}$ = 0.3125

Θ = $sin^{-1}$(0.3125) ≈ 18.2° ( nearest tenth )