If a measured distance of 2.5 inches on a map represents an actual distance of 15 miles, what is the fractional scale of the map?

Answers

Answer 1

If a measured distance of 2.5 inches on a map represents an actual distance of 15 miles, the fractional scale of the map is: 1/63360.

What is the fractional scale of the map?

We can use the following formula to determine the fractional scale:

Map distance / real distance is the fractional scale.

By entering the specified values, we obtain:

Scale in fractions: 2.5 inches to 15 miles.

Simplifying this expression by converting 2.5 inches to feet (since 1 mile = 5,280 feet) gives:

Fractional scale: (15 miles * 5280 feet/mile) / (2.5 inches / 12 inches/foot)

Further simplification provides:

Scale in fractions: (15 * 5280/12)

Scale in fractions =1/63360

Therefore the map's fractional scale is 1/63360.

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