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Maddoxrecti2mari Maddoxrecti2mari
  • 26-11-2016
  • Mathematics
Answered

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

Verified Answer :

alsteva alsteva
  • 29-11-2016

\(\tan{30^o}= \frac{x}{25} \\ \\x=25\tan{30^o} \\x=25\times \frac{1}{ \sqrt{3} } \\x\approx14.43 \text{ ft}\)

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jaronraulerson0
jaronraulerson0 jaronraulerson0
  • 09-12-2019

The answer is B. 14 ft

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