# The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground. What is the shortest ladder that will do the job? The base of the building and the ground form a right angle.

Feb 24, 2018

$13.6$ m

#### Explanation:

This problem is essentially asking for the hypotenuse of a right-angled triangle with side a = 4 and side b = 13.

Therefore,

$c = \sqrt{{4}^{2} + {13}^{2}}$

$c = \sqrt{185}$ m