At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of the tree to the nearest foot. A) 13 ft B) 14 ft C) 22 ft D) 29 ft

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asked Mar 17, 2017 117k views

1 vote

At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of the tree to the nearest foot.

A)
13 ft
B)
14 ft
C)
22 ft
D)
29 ft

Mathematics
high-school

Anth asked

by Anth

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2 Answers

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The answer is B. 14 ft

Npires answered Mar 19, 2017

by Npires

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$tan(30^o)= (x)/(25) \\ \\x=25tan(30^o) \\x=25* (1)/( √(3) ) \\x\approx14.43 \text{ ft}$

At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow-example-1

Yari answered Mar 23, 2017

by Yari

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