Question

A ramp in the shape of a right triangular prism is shown.

Answer 1

Answer:

5 ft

Step-by-step explanation:

The triangular face is a right triangle with hypotenuse 13 ft

Use Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² + 12² = 13²

y² + 144 = 169 ( subtract 144 from both sides )

y² = 25 ( take the square root of both sides )

y = $\sqrt{25}$ = 5

The height of the ramp is 5 ft