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Trigonometry

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Moderate

Right Triangle, Tangent Function, Antenna Height

TRIG-7ZSQW9

A radio antenna sits on the top edge of a 250-foot building. 400 feet from the base of the building the angle of elevation to the top of the antenna is ${35}^{o}$.

What is the height of the antenna (round to the nearest foot)?

A

$78\; \text{feet}$

B

$60\; \text{feet}$

C

$30\; \text{feet}$

D

$75\; \text{feet}$