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

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Answer:

18.2°

Explanation:

The law of sines tells you the sine of the angle is proportional to the length of the opposite side.

sin(θ)/5 = sin(30°)/8

sin(θ) = (5/8)sin(30°) = 0.3125

θ = arcsin(0.3125) ≈ 18.2°

Angle θ measures about 18.2°.