Question

Aladder that is 15 ft. long is leaning against the side of a

building as shown below. If the place where the ladder
touches the level ground is 9 ft. from the base of the
building, how high off the ground does the ladder touch
the building?

Answer 1

H. 12 ft

Given c=15, and a=9, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height

9^2+b=15^2

81+b^2=225

b^2=144

b=12

Height = 12