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A tree casts a 25 m shadow when the angle of elevation to the sun is

40°. Approximately how tall is the tree?
25 m
A 25 m
B 19 m
C 21 m
D 16 m

A tree casts a 25 m shadow when the angle of elevation to the sun is 40°. Approximately-example-1

1 Answer

5 votes

Answer:

C. 21 m

Explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m

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