Mason wants to use a sheet of fiberboard 21 inches long to create a skateboard ramp with a height of 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.
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Bonus Knowledge
To find the angle of elevation of the ramp, we can use trigonometry. The height of the ramp is the opposite side, and the length of the fiberboard is the hypotenuse. If we let \( h \) be the height of the ramp, we can use the sine function: \[ \sin(\theta) = \frac{h}{\text{hypotenuse}} = \frac{h}{21} \] Rearranging gives: \[ \theta = \arcsin\left(\frac{h}{21}\right) \] There's one crucial thing to remember: unless you know the height \( h \), you can’t find the exact angle! So, once you have that height, plug it into the formula and calculate \( \theta \) using a calculator for the arcsin function, rounding to the nearest tenth of a degree. If you have a specific height in mind, let me know, and we can calculate the exact angle together!