Question

janiece wants to use a sheet of fiberboard 18 inches long to create a skateboard ramp with a height of 8 inches at its highest end. find the angle of elevation made by the ramp with the ground. round your answer to the nearest tenth of a degree. answer attempt 1 out of 2

Explanation:

Step1: Identify the trigonometric relation

We have a right - triangle situation where the hypotenuse of the right - triangle is the length of the fiberboard (18 inches) and the opposite side to the angle of elevation is the height of the ramp (8 inches). We use the sine function since $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.
Let $\theta$ be the angle of elevation. Then $\sin\theta=\frac{8}{18}=\frac{4}{9}$.

Step2: Solve for the angle

We know that $\theta = \sin^{- 1}(\frac{4}{9})$. Using a calculator, $\theta=\sin^{-1}(\frac{4}{9})\approx26.4^{\circ}$.

Answer:

$26.4^{\circ}$