### Home > AC > Chapter 5 > Lesson 5.2.3 > Problem5-86

5-86.

Did you know that the Statue of Liberty was a gift from France? It was shipped to New York and reassembled on an island in New York Harbor. It was finished in $1886$. The distance from the base to the torch is $152$ feet. The gift store sells a scale model of the statue measuring $18$ inches ($1.5$ feet) tall.

1. If the length of the index finger on the real statue is eight feet, what is its length on the scale model?

Set up a proportion using the information in the problem.

$\frac{\text{statue}}{\text{model}} = \frac{152}{1.5} = \frac{8}{x}$

Now solve for $x$.

$x=0.08$ ft or about $1$ inch

2. Alex wanted to know the length of the right arm on the statue. He measured the model, and the right arm was five inches long. What is the length of the arm on the statue?

Follow the steps in part (a).