A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall.
A.
First, we can set up a right triangle with the ladder as the hypotenuse, the distance from the wall to the base of the ladder as one leg, and the height above the ground as the other leg.
Using the Pythagorean theorem, we can write:
(5)^2 + (height)^2 = (13)^2
Solving for height:
25 + (height)^2 = 169
(height)^2 = 144
height = 12
Therefore, the ladder meets the wall 12 meters above the ground.