Question

a scale drawing of a building needs to be made using the scale 1 in = 240 ft. how tall will the building in the scale drawing be if the building is 2160 ft tall? the height of the building in the scale drawing will be \boxed{} in. (simplify your answer.)

Explanation:

Step1: Set up the proportion

Let \( x \) be the height of the building in the scale drawing (in inches). The scale is \( 1 \) in \( = 240 \) ft, so we can set up the proportion:
\[
\frac{1 \text{ in}}{240 \text{ ft}}=\frac{x \text{ in}}{2160 \text{ ft}}
\]

Step2: Solve for \( x \)

Cross - multiply to get:
\[
240x = 2160\times1
\]
Then, divide both sides by \( 240 \):
\[
x=\frac{2160}{240}
\]
Simplify the fraction:
\[
x = 9
\]

Answer:

9