Solve. If necessary, round to the nearest tenth.
-If a tree 57.5 feet tall casts a shadow that is 23 feet long, find the height of a tree casting a shadow that is 21 feet long.
A)52.5 ft
B)63 ft
C)8.4 ft
D)55.5 ft

Question

Quizplus · Accepted Answer

The height of the second tree can be found using similar triangles. The ratio of the height to shadow length for both trees should be the same. So, $ \frac{57.5}{23} = \frac{x}{21} $. Solving for $x$ gives $ x = \frac{57.5 \times 21}{23} = 52.5 $ feet.

Solve. If Necessary, Round to the Nearest Tenth