A 10 foot ladder is placed 4-feet from the edge of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.

A:10.8 feet

B:9.2 feet

C:2.4 feet

D:3.7 feet

9.2 feet. b.)

Step-by-step explanation:

This uses the Pythagorean Theorem

Do you notice that the ladder forms a right triangle with the building.

10 feet = hypotenuse length

4 feet = bottom leg length

x feet = height of building

so 10^2 = 4^2 + x^2

100 = 16 + x^2

84 = x^2

x = root (84) = 9.16515 feet about 9.2 feet