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.
Square root 194 meters.
B.
13 m
C.
12 m
D.
8 m
To find the height above the ground where the ladder meets the wall, we can use the Pythagorean theorem.
Let x be the height above the ground the ladder meets the wall.
According to the information given, the ladder (13m) is the hypotenuse, the base of the ladder is 5m, and the height we are solving for is x.
Using the Pythagorean theorem:
(5)^2 + x^2 = (13)^2
25 + x^2 = 169
x^2 = 144
x = 12
Therefore, the height above the ground where the ladder meets the wall is 12m.
So, the answer is C. 12 m.