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

Answer:

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

Step-by-step 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 $5\frac{1}{3} = 5.33$ feet.

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

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

⇒ $\frac{H}{h} = \frac{L}{l}$

⇒ $H = \frac{L \times h}{l} = \frac{33 \times 5.33}{2} = 87.945$ 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)