Answer:
The actual distance between Rose Lake and the hiking trail is 7 miles.
Step-by-step explanation:
The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.
Suppose, the actual distance between Rose Lake and the hiking trail is [tex]d[/tex] miles.
Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.
So, according to the ratio of "scaled distance" to the "actual distance", the equation will be......
[tex]\frac{2}{3.5}= \frac{4}{d} \\ \\ 2d=4*3.5=14\\ \\ d=\frac{14}{2}=7[/tex]
Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.