### Calculating the Angle of a Ramp Relative to the Ground**Problem Statement:**If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 20 feet long, what angle does the ramp make with the ground?*Round your answer to one decimal place.*---The ramp makes an angle of [ ] degrees with the ground.---To determine the angle, you will use trigonometric principles. In this case, the sine function is appropriate since you have the length of the opposite side (height of the ramp) and the hypotenuse (length of the ramp).1. Identify the height and length: - Height (opposite side) = 7 feet - Hypotenuse (length of ramp) = 20 feet2. Use the sine function: \[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]3. Plug in the values: \[ \sin(\theta) = \frac{7}{20} \]4. Calculate the angle: \[ \theta = \sin^{-1}\left(\frac{7}{20}\right) \]Using a calculator or trigonometric table to find \(\theta\). Finally, round your answer to one decimal place.Please input the calculated angle in the provided box.

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Answered: If a loading ramp is placed next to a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 75RE

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If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 20 feet long, what angle does the ramp make with the ground? Round your answer to one decimal place. The ramp makes an angle of Number degrees with the ground.