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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.

A bike ramp is constructed such that a 5foot launching ramp makes a 30 angle with the groundWhat is the measure of angle θ Enter your answer as a decimal rounde class=

Respuesta :

Answer:

Θ = 18.2°

Step-by-step explanation:

Using the law of sines in the triangle

[tex]\frac{5}{sintheta}[/tex] = [tex]\frac{8}{sin30}[/tex] ( cross- multiply )

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

sinΘ = [tex]\frac{5sin30}{8}[/tex] = 0.3125

Θ = [tex]sin^{-1}[/tex](0.3125) ≈ 18.2° ( nearest tenth )

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