Solve. If necessary, round to the nearest tenth.
-A fire fighter needs to estimate the height of a burning building. She estimates the length of her shadow to be 9 feet long and the length of the building's shadow to be 66 feet long. Find the height of the building if the fire
Fighter is 6 feet tall.
A)44 ft
B)75 ft
C)110 ft
D)99 ft

Question

Quizplus · Accepted Answer

The height of the building can be found using similar triangles. The ratio of the firefighter's height to her shadow length (6/9) is equal to the ratio of the building's height to its shadow length. Let $ h $ be the height of the building, then $ \frac{6}{9} = \frac{h}{66} $. Solving for $ h $, we get $ h = 44 $ feet.

Solve. If Necessary, Round to the Nearest Tenth