Question

A ramp is used to move equipment off a loading dock and onto the ground. The loading dock floor is 6 feet above the ground.

The ramp measures 30 feet long.

What is the horizontal distance covered by the ramp?

Enter your answer, rounded to the nearest tenth of a foot, in the box.

ft

Answer 1

29.4feet

Explanation:

To get the horizontal distance covered by the ramp, we will use the pythagoras theorem

Let r be the length of the ramp (hypotenuse)

Let d be the height of the loading door (opposite)

Let the horizontal distance be h

Hence;

r^2 = d^2 + h^2

30^2 = 6^2 + h^2

h^2 = 30^2 - 6^2

h^2 = 900 - 36

h^2 = 864

h = √864

h = 29.39 feet

Hence the horizontal distance covered by the ramp to the nearest tenth of a foot is 29.4feet