Question

Qing attached a dog ramp to her bed, which allows her dog to easily climb onto the mattress. The ramp is 48 inches long. The base of the ramp is 40 inches from the base of the bed. How high off the ground is the top of the mattress?

Answer 1

A^2 + b^2 = c^2
40^2 + x^2 = 48^2
1,600 + x^2 = 2,304
-1,600             -1,600

x^2 = 704
(square both)

x = 26.53....


So the mattress is about 26.5 inches off the ground.
Hope this helps!