Question

No scale is shown on this map of a wilderness area. The distance between Rose Lake and the main road is 3.5 mi. On the map it is 2 in. The distance from Rose Lake to the hiking trail is 4 in. What is the actual distance in miles between Rose Lake and the hiking trail?

Answer 1

The actual distance between Rose Lake and the hiking trail is 7 miles.

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
`d` 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......

`(2)/(3.5)= (4)/(d) \\ \\ 2d=4*3.5=14\\ \\ d=(14)/(2)=7`

Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.