Using the Pythagorean Theorem, it is found that:
- To meet the recommendation, the ramp needs to have a horizontal distance of at least 35 feet. The ramp has a horizontal distance of 39.69 feet.
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse [tex]h[/tex], according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In the ramp show:
- The hypotenuse is of [tex]h = 40[/tex].
- The vertical incline is of 5 feet.
- The other leg is the horizontal distance.
Then:
[tex]d^2 + 5^2 = 40^2[/tex]
[tex]d = \sqrt{40^2 - 5^2}[/tex]
[tex]d = 39.69[/tex]
39.69/5 is approximately 8, hence there is more than 7 feet of horizontal distance for every 1 foot of horizontal rise along an incline, hence it meets the specifications.
Since 5 x 7 = 35, we have that:
To meet the recommendation, the ramp needs to have a horizontal distance of at least 35 feet. The ramp has a horizontal distance of 39.69 feet.
To learn more about the Pythagorean Theorem, you can check https://brainly.com/question/654982
