Question

A woman is standing 12 feet from a sculpture. The angle of elevation from her eyes to the top of the sculpture is 35º. If the woman's eyes are 5 feet 6 inches off the ground, how tall is the sculpture? Round answer to the nearest thousandth of a foot.

Answer 1

13.903 feet

Explanation:

Let the height from the woman's eyes to the top of the sculpture be represented by x.

So that,

Tan 35 =
`(x)/(12)`

x = Tan 35 x 12

= 0.70021 x 12

= 8.4025

x = 8.403 feet

The height of the sculpture = The woman's eye level to the ground + x

= 5 feet 6 inches + 8.403 feet

= 5.50 feet + 8.403 feet

= 13.903 feet

Thus, the sculpture has a height of 13.903 feet.