Question

Mr. romero attached a ramp to the base of a window sill so that the family cat could more easily climb onto it. the ramp is 84 inches long. the window sill is 50 inches above the floor. what is the distance from the base of the ramp to the base of the wall? enter your answer, rounded to the nearest tenth, in the box.

Answer 1

67.5"

Explanation:

See the attached image. The cat walk makes a right angle at the base of the window. Since we know 2 of the 3 sides of the resulting right triangle, we can use the Pythagorean Theorem to calculate the third side, the base, x.

x^2 + y^2 = z^2

x^2 + 50^2 = 84^2

x = 67.5"