Question

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long

Answer 1

Given :

Height of the ramp, h = 83 cm.

Length of ramp, L = 158 cm.

To Find :

Length of the base of the ramp.

Solution :

Let length of the base is l.

By Pythagoras theorem :

L² = h² + l²

$l=\sqrt{L^2-h^2}\\\\l=\sqrt{158^2-83^2}\\\\l=134.44\ cm$

Therefore, length of the base is 134.44 cm.

Hence, this is the required solution.