Question

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.

Answer 1

The height of the statue is 12 feet

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

`tan(68^o)=(AB)/(BC)` ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

`tan(68^o)=(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