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.

Respuesta :

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

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

substitute the given values

[tex]tan(68^o)=\frac{AB}{5}[/tex]

solve for AB (the height of the statue)

[tex]AB=tan(68^o)(5)=12\ ft[/tex]

therefore

The height of the statue is 12 feet

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