Question

A 13-foot ramp covers 12 feet of ground on the horizontal. How high does it rise?

Answer 1

`\large\boxed{\large\boxed{5ft}}`

Step-by-step explanation:

A ramp is modeled by a right triangle with hypotenuse equal to the length of the ramp, horizontal leg equal to the ground length(horizontal run), and vertical leg equal to the rise.

Hence, you can use Pythagora's theorem:

`(13ft)^2=(12ft)^2+y^2`

Solve of the y, which represents the rise:

`y^2=(13ft)^2-(12ft)^2=169ft^2-144ft^2=25ft^2\\\\y=5ft`