Solve the problem. Round answers to the nearest tenth if necessary.
-A tree casts a shadow 38 m long. At the same time, the shadow cast by a 37-centimeter-tall statue is 75 cm long. Find the height of the tree.
A)75.5 m
B)18.7 m
C)17.2 m
D)77.0 m

Question

Quizplus · Accepted Answer

The height of the tree can be found using similar triangles. The ratio of the height of the statue to its shadow (37/75) is equal to the ratio of the height of the tree to its shadow. Let $ h $ be the height of the tree in meters. Thus, $ \frac{37}{75} = \frac{h}{38} $. Solving for $ h $, we get $ h = \frac{37 \times 38}{75} \approx 18.7 $ meters.

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