Question

scale 1 in : 10 ft answer the following. (a) in the scale drawing, the length of the airplane is 8 inches. what is the length of the real airplane? 9 feet (b) the wingspan of the real airplane is 90 feet. what is the wingspan of the airplane in the scale drawing? inches

Explanation:

Part (a)

Step1: Understand the scale

The scale is \(1\) inch : \(10\) feet, meaning \(1\) inch on the drawing represents \(10\) feet in real.

Step2: Calculate real length

The drawing length is \(8\) inches. So real length \(= 8\times10 = 80\) feet. Wait, but the original wrong answer was 9 feet, correct is 80 feet. Maybe a typo in the user's image, but following scale: \(1\) in \(= 10\) ft, so \(8\) in \(= 8\times10 = 80\) ft.

Part (b)

Step1: Use the scale ratio

Scale is \(1\) in : \(10\) ft, so let \(x\) be the drawing wingspan. Then \(\frac{1}{10}=\frac{x}{90}\).

Step2: Solve for \(x\)

Cross - multiply: \(10x = 90\), so \(x=\frac{90}{10}=9\) inches.

Answer:

(a) The correct length of the real airplane is 80 feet (the given 9 feet is incorrect).
(b) The wingspan in the scale drawing is 9 inches.