Question

answer the following. (a) in the scale drawing, the length of the airplane is 6 inches. what is the length of the real airplane? feet (b) the wingspan of the real airplane is 72 feet. what is the wingspan of the airplane in the scale drawing? inches

Explanation:

Step1: Analyze the scale

The scale is \(1\) inch : \(8\) feet. This means \(1\) inch on the drawing represents \(8\) feet in real - life.

Step2: Solve for part (a)

If the drawing length is \(6\) inches, then the real - life length \(L\) is calculated by multiplying the drawing length by the scale factor.
\(L = 6\times8\)

$$L = 48$$

Step3: Solve for part (b)

Let the drawing length of the wingspan be \(x\) inches. We know the scale \(1\) inch : \(8\) feet. If the real - life wingspan is \(72\) feet, then we set up the proportion \(\frac{1}{8}=\frac{x}{72}\).
Cross - multiply: \(8x = 72\)
Divide both sides by \(8\): \(x=\frac{72}{8}\)

$$x = 9$$

Answer:

a. \(48\) feet
b. \(9\) inches