Question

A student would like to find the height of the statue. The length of the statues right arm is 32 feet. The students right arm is 2 feet long and her height is 5 1/3 feet. 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, 5 inches from heel to top of head The approximate height of the statue is …?What ya the difference between the approximate height of the statue and it’s actual height …?

Answer 1

It is given that arm length is proportional to height of statue.

So let x be the height of statue so it follows:

`\begin{gathered} (x)/(5(1)/(3))=(32)/(2) \\ x=16(5(1)/(3)) \\ x=16((16)/(3)) \\ x=85.3333\text{ feet} \end{gathered}`

It is also given that the actual height of statue is 88feet and 5 inches.

It is known that 1 feet is 12 inches so 88+5/12=88.4167 feet.

The difference in approximate and actual height is 3.0834 feet.

Hence the answeres are:

The approximate height of the statue is 85.3333feet.

The difference in approximate and actual height is 3.0834 feet.