Question

Hannah made a ramp for her grandfather who was in a wheelchair. The ramp was 10 ft long and it was 5 ft away from the porch steps. How high were the porch steps?

Answer 1

Given :

Length of ramp( Hypotenuse ), l = 10 ft .

Length of base, b = 5 ft .

To Find :

How high were the porch steps.

Solution :

Let, height is h.

By Pythagoras theorem :

`b^2+h^2=l^2\\\\h=√(l^2-b^2)\\\\h=√(10^2-5^2)\\\\h = √(75)\\\\h = 5√(3)\ ft`

Hence, this is the required solution.