Geometry

Question Analysis

The main focus is to use the Pythagorean Theorem to find the length of the ramp, which serves as the hypotenuse of a right - triangle. The height of the ramp and the length along the ground are the two legs of the right - triangle.

 

Key Concept Explanation

The Pythagorean Theorem states that for a right - triangle with legs of lengths  and  and hypotenuse of length , the equation is . This theorem helps in determining the length of an unknown side in a right - triangle.

 

Step - by - Step Solution

1. Identify the sides of the right - triangle:

The height of the ramp  feet and the length along the ground  feet. The length of the ramp is the hypotenuse .

2. Apply the Pythagorean Theorem:

Substitute the values into the formula . So, .

Calculate