Question

1. amber is making a scale drawing of a movie screen. the actual dimensions of a movie screen in her local theater are 60 feet (ft) wide and 20 ft tall. in her scale drawing, the screen has a width of 9 in. what will the height of the screen on her drawing be?

Explanation:

Step1: Set up proportion

Let \( x \) be the height in inches. The ratio of actual width to drawing width should equal the ratio of actual height to drawing height. So, \(\frac{60\,\text{ft}}{9\,\text{in}}=\frac{20\,\text{ft}}{x\,\text{in}}\).

Step2: Cross - multiply

Cross - multiplying gives \( 60x = 20\times9 \).

Step3: Solve for \( x \)

Simplify the right - hand side: \( 20\times9 = 180 \). Then, \( x=\frac{180}{60}=3 \).

Answer:

The height of the screen on her drawing will be 3 inches.