Question

a scale drawing of a building needs to be made using the scale 1 in = 180 ft. how tall will the building in the scale drawing be if the building is 1800 ft tall?

the height of the building in the scale drawing will be \\(\square\\) in. (simplify your answer.)

Explanation:

Step1: Set up the proportion

Let \( x \) be the height in the scale drawing (in inches). The scale is \( 1 \) in \( = 180 \) ft, so we can set up the proportion \(\frac{1\ \text{in}}{180\ \text{ft}}=\frac{x\ \text{in}}{1800\ \text{ft}}\).

Step2: Solve for \( x \)

Cross - multiply: \(180x = 1\times1800\). Then, divide both sides by \( 180 \): \(x=\frac{1800}{180}\).

Step3: Simplify the fraction

\(\frac{1800}{180}=10\).

Answer:

10