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ahrayia [7]
3 years ago
5

You are measuring the height of a statue. You stand 5 feet from the base of the statue. You measure the angle of elevation from

the ground to the top of the statue to be 68º. Find the height h of the statue to the nearest foot.

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

Answer:

The height of the statue is 12 feet

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(68^o)=\frac{AB}{BC} ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(68^o)=\frac{AB}{5}

solve for AB (the height of the statue)

AB=tan(68^o)(5)=12\ ft

therefore

The height of the statue is 12 feet

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