Question

a map of a nature park has a scale of 2 inches to 1.5 miles. there are two trails that are 8 inches apart on the map. what is the actual distance between the two trails? the actual distance between the two trails is square miles.

Explanation:

Step1: Set up the proportion

Let \( x \) be the actual distance in miles. The scale is \( \frac{2 \text{ inches}}{1.5 \text{ miles}}=\frac{8 \text{ inches}}{x \text{ miles}} \)

Step2: Cross - multiply

\( 2x = 1.5\times8 \)

Step3: Solve for \( x \)

First, calculate \( 1.5\times8 = 12 \). Then, \( x=\frac{12}{2}=6 \)

Answer:

6