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 made by the ramp, you can use the sine function from trigonometry. The sine of an angle is the ratio of the opposite side (height of the ramp) to the hypotenuse (length of the fiberboard). If you're using a height of 12 inches (assuming that's what you meant with "height of inches"), the formula would be: sin(θ) = opposite / hypotenuse = height / length = 12 / 21. Calculating this gives sin(θ) = 0.5714. Now use the inverse sine function: θ = sin⁻¹(0.5714). When you compute that, you get approximately 34.8 degrees. So, the angle of elevation of Mason's ramp is about 34.8 degrees when rounded to the nearest tenth! To make a skateboard ramp successful, it’s essential to ensure that the angle isn’t too steep, as this can lead to skateboarding accidents. The ideal angle for a comfortable ramp is usually around 20 to 30 degrees depending on the user's skill level. Always test out the ramp safely with lower angles first to find the best fit!