Height of a statue.

Question

The length of a statues right arm is 57 feet. The students right arm is 2 feet long and her height is 5 1/3 feet. Use this to find the height of the statue. How close is the approximate height to the statues actual height of 151 feet, 9 inches from heel to top of the head?

 

Approx height of statue?

what is the difference between the approx height and the actual height?

Answer 1

This problem implies that the ratio of the height and the right arm length is the same for both the statue and the student.

 

Let h be the approximated height of the statue, then

h/57 = (5 1/3)/2

        = 16/6 = 8/3

So

h = 152 ft

 

The difference between the approx height and the actual height is

Δh = 152 - 151¾ = ¼ ft or 3 in.