Question

trig word problems solve for angle score:0/5 penalty: 1 off question hannah wants to use a sheet of fiberboard 34 inches long to create a skateboard ramp with a height of 12.25 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 submit answer show examples

Explanation:

Step1: Recall the sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the height of the ramp is the opposite side (\(opp = 12.25\) inches) and the length of the fiberboard is the hypotenuse (\(hyp=34\) inches).

Step2: Calculate the angle

We have \(\sin\theta=\frac{12.25}{34}\). Then \(\theta=\sin^{- 1}(\frac{12.25}{34})\).

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Using a calculator, \(\theta\approx21.1^{\circ}\)

Answer:

\(21.1^{\circ}\)