Question

A man stands 14 feet from a statue. The angle of elevation from his eye level to the top of the statue is 36º. The angle of depression from eye level to the bottom of the statue is 14°. How tall is the statue?

A)10.19 feet
B)11 feet
C)9 feet
D)5 feet

Answer 1

The height of the statue is approximately 10.19 feet.

Step-by-step explanation:

Let's start by finding the height of the statue using the angle of elevation. The angle of elevation is the angle between the horizontal line and the line of sight from the man's eye to the top of the statue. In this case, the angle of elevation is 36 degrees.

We can use the tangent function to find the height of the statue. The tangent of an angle is equal to the opposite side divided by the adjacent side.

The opposite side represents the height of the statue, which is what we are trying to find. The adjacent side represents the distance between the man and the statue, which is 14 feet.

So, we have tan(36) = height of the statue / 14 feet.

Using a calculator, we can find that the height of the statue is approximately 10.19 feet.