The angle of inclination of the ramp is 4.76 degrees.
<h3>What is a right-angle triangle? </h3>
A right-angled triangle is a type of triangle that has an angle that is equal to 90°. It has a hypotenuse (which is usually the longest side, the opposite facing the hypotenuse, and the adjacent (which is called the baseline).
From the parameters given:
- The horizontal length is the adjacent = 18 feet
- The vertical length is the opposite = 1.5 feet
We can determine the angle of inclination by using the tangential trigonometric function.
![\mathbf{Tan \ \theta = \dfrac{opp}{adj}}](https://tex.z-dn.net/?f=%5Cmathbf%7BTan%20%5C%20%20%5Ctheta%20%3D%20%5Cdfrac%7Bopp%7D%7Badj%7D%7D)
![\mathbf{Tan \ \theta = \dfrac{1.5}{18 }}](https://tex.z-dn.net/?f=%5Cmathbf%7BTan%20%5C%20%20%5Ctheta%20%3D%20%5Cdfrac%7B1.5%7D%7B18%20%7D%7D)
![\mathbf{Tan \ \theta =0.0833}](https://tex.z-dn.net/?f=%5Cmathbf%7BTan%20%5C%20%20%5Ctheta%20%3D0.0833%7D)
θ = tan ⁻¹(0.0833)
θ = 4.76 degrees
Learn more about triangles here:
brainly.com/question/2938476