We will use trigonometry to find the length of the ramp (x). The opposite side of the triangle is the height (4 feet), and the adjacent side is the horizontal distance covered by the ramp (h).
To find h, we can use the tangent function:
tan(5 degrees) = 4 / h
Rearranging the equation to solve for h:
h = 4 / tan(5 degrees)
Using a calculator, we find that tan(5 degrees) ≈ 0.0874887. Plugging in this value:
h = 4 / 0.0874887 ≈ 45.74 feet
Therefore, the length of the ramp (x) is approximately 45.74 feet when the height is 4 feet and the angle is 5 degrees.