Figure
A 26-foot ladder is leaning against the wall of a
building. If the bottom of the ladder touches the ground
10 feet from the base of the building, approximately how
far is the top of the ladder from the base of the building?
F.
21
G.
22
H.
23
J.
24
K.
25
To find the distance from the top of the ladder to the base of the building, we can use the Pythagorean theorem.
Let x be the distance from the top of the ladder to the base of the building.
Using the Pythagorean theorem:
x^2 + 10^2 = 26^2
x^2 + 100 = 676
x^2 = 576
x = √576
x = 24
Therefore, the top of the ladder is approximately 24 feet from the base of the building. The answer is J. 24.