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) = [tex]\frac{Opposite}{Hypotenuse}[/tex] to find the angle that the ramp makes with the ground.
[tex]sin(\theta)=\frac{3.5}{17.5}[/tex]
The angle is equal to
[tex]\theta = sin^{-1}(\frac{3.5}{17.5} )\\\theta = 11.54\°[/tex]
