A fire escape 13 m long was attached to the window of the fifth floor of the house.

A fire escape 13 m long was attached to the window of the fifth floor of the house. The lower end of the ladder is 5 m from the wall. At what height is the window?

Using the conditional variable “Y”, we express the required unknown window height.

Based on the information of such an example and applying the Pythagorean theorem, we will form the following equation: Y ^ 2 + 5 ^ 2 = 13 ^ 2.

The result of calculating the expression will be as follows Y ^ 2 + 25 = 169 or Y ^ 2 = 169 – 25 = 144 or Y = √144 = 12 m.

Answer: the window is located at a height of 12 m.