Question

A 32-foot ladder leans against a building so that the top of the ladder touches the building at a point 23 feet above the ground. To the nearest tenth of a foot, how far from the bottom of the building is the bottom of the ladder?
(Points : 4)
22.2 ft
27.5 ft
30.1 ft
39.4 ft

Answer 1

\[x= \sqrt{32^{2}-23^{2}}\]

Answer 2

answer = 22.2

Answer 3

Use the Pythagorean theorem for this.
a^2+b^2=c^2
The ladder is c
The wall is b
The ground is a
Rearrange the equation so that you can solve for a.
a^2=c^2-b^2
Substitute values.
a^2=32^2+23^2
Simplify
a^2=1024-529
a^2=495
Square both sides.
√a^2=√495=22.2
Answer: 22.2