Question

A ramp 17 1/2 feet in length rises to a loading platform that is 3 1/2 feet off the ground. Find the angle that the ramp makes with the ground.

Answer 1

Answer:

The angle that the ramp makes with the ground is 11.54°

Step-by-step explanation:

From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.

We can use the fact that the sin(θ) = $\frac{Opposite}{Hypotenuse}$ to find the angle that the ramp makes with the ground.

$sin(\theta)=\frac{3.5}{17.5}$

The angle is equal to

$\theta = sin^{-1}(\frac{3.5}{17.5} )\\\theta = 11.54\°$