Question

the statue of liberty is about 300 feet tall and about 30 feet wide. the town of unionville is building a smaller model for their fourth of july celebration. unionvilles statue will be 3 feet wide. how tall should unionvilles statue be? feet submit

Explanation:

Step1: Find the scale factor

The original width is \(30\) feet and the model width is \(3\) feet. The scale factor \(k=\frac{3}{30}=\frac{1}{10}\)

Step2: Calculate the height of the model

The original height is \(h = 300\) feet. Using the scale - factor, the height of the model \(H=300\times k\)
Substitute \(k = \frac{1}{10}\) into the formula: \(H = 300\times\frac{1}{10}=30\)

Answer:

\(30\)