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?
Accepted Solution
A:
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 feetStep-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 [tex]5\frac{1}{3} = 5.33[/tex] feet.
Now, the length of the right arm and the height must be proportional for the statue and the student.
So, [tex]\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}}[/tex]
⇒ [tex]\frac{H}{h} = \frac{L}{l}[/tex]
⇒ [tex]H = \frac{L \times h}{l} = \frac{33 \times 5.33}{2} = 87.945[/tex] 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)