Geometry

Question Analysis

The main focus is to apply the Pythagorean Theorem to find the length of the ladder, which acts as the hypotenuse of a right - triangle. The height from the ground to the window and the distance of the base of the ladder from the building 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 is used to find the length of an unknown side in a right - triangle.

Step - by - Step Solution

1. Identify the sides of the right - triangle:

The height from the ground to the window  meters and the distance of the base of the ladder from the building  meters. The length of the ladder is the hypotenuse .

2. Apply the Pythagorean Theorem:

Substitute the values into the formula . So, .

Calculate