Emily places a loading ramp next to her truck. The height of the ramp is 7 feet, and an inclined portion of 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.

To find the angle that the ramp makes with the ground, we can use the sine function from trigonometry. The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case: - The height of the ramp (opposite side) is \( h = 7 \) feet. - The length of the ramp (hypotenuse) is \( l = 20 \) feet. We can use the formula: \[ \sin(\theta) = \frac{h}{l} \] Where \( \theta \) is the angle we want to find. Rearranging this gives us: \[ \theta = \arcsin\left(\frac{h}{l}\right) \] Now, substituting the known values: \[ \theta = \arcsin\left(\frac{7}{20}\right) \] Let's calculate this angle. Calculate the value by following steps: - step0: Calculate: \(\arcsin\left(\frac{7}{20}\right)\) Calculate or simplify the expression \( \sin(0.357571) \). Calculate the value by following steps: - step0: Calculate: \(\sin\left(0.357571\right)\) Calculate or simplify the expression \( 0.357571 * (180/\pi) \). Calculate the value by following steps: - step0: Calculate: \(0.357571\times \frac{180}{\pi }\) - step1: Convert the expressions: \(\frac{357571}{1000000}\times \frac{180}{\pi }\) - step2: Multiply the fractions: \(\frac{357571\times 180}{1000000\pi }\) - step3: Multiply the terms: \(\frac{64362780}{1000000\pi }\) - step4: Reduce the fraction: \(\frac{3218139}{50000\pi }\) Now that we have calculated the angle, we find: \[ \theta \approx 20.5 \text{ degrees} \] Thus, the ramp makes an angle of approximately **20.5 degrees** with the ground when rounded to one decimal place.