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
A.
To find the height where the ladder meets the wall, you can use the Pythagorean theorem, which states that a^2 + b^2 = c^2, where a and b are the two shorter sides of a right triangle and c is the hypotenuse.
In this case, a = 5m, b = h (height we are trying to find), and c = 13m (length of the ladder).
Using the Pythagorean theorem:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = sqrt(144)
h = 12m
Therefore, the answer is C. 12 m.