Question

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

Explanation:

Step1: Set up proportion for part (a)

Given scale \(1\) in : \(10\) ft. Let \(x\) be real length. \(\frac{1}{10}=\frac{8}{x}\)

Step2: Solve for \(x\) in part (a)

Cross - multiply: \(x = 8\times10\)

Step3: Set up proportion for part (b)

Let \(y\) be scale length. \(\frac{1}{10}=\frac{y}{90}\)

Step4: Solve for \(y\) in part (b)

Cross - multiply: \(10y=90\), then \(y=\frac{90}{10}\)

Answer:

(a) \(80\) feet
(b) \(9\) inches