Question

A student would like to find the height of a statue. The length of the​ statue's right arm is 33 feet. The​ student's right arm is 2 feet long and her height is 5 ⅓feet. Use this information to find the height of the statue. How close is the approximate height to the​ statue's actual height of 88 ​feet, 2 inches from heel to top of​ head?

Answer 1

The approximate height of the statue is 87.945 feet.

The approximate height of the statue is less than the actual height i.e. 88 feet 2 inches or 88.167 feet by (88.167 - 87.945) = 0.222 feet

Explanation:

A student would like to find the height of a statue. The length of the statue's right arm is 33 feet.

The student's right arm is 2 feet long and her height is
`5(1)/(3) = 5.33` feet.

Now, the length of the right arm and the height must be proportional for the statue and the student.

So,
`\frac{\textrm {Height of the statue}}{\textrm {Height of the student}} = \frac{\textrm {Length of right arm of the statue}}{\textrm {Length of right arm of the student}}`

⇒
`(H)/(h) = (L)/(l)`

⇒
`H = (L * h)/(l) = (33 * 5.33)/(2) = 87.945` feet.

So, this approximate height of the statue is less than the actual height i.e. 88 feet 2 inches or 88.167 feet by (88.167 - 87.945) = 0.222 feet (Answer)