   Chapter 2, Problem 4PA

Chapter
Section
Textbook Problem

If 10 centimeters (3.94 in.) on a map equals 1 kilometer (3,281 ft) on the ground, what is the RF scale of the map? The formula for scale conversions of this kind is: Map distance/Earth distance = 1/Representative Fraction Denominator.

To determine

The RF scale of the map if 10 centimeters on the ground is equal to 1 kilometer on the ground.

Explanation

A representative factor (RF) is a ratio of unit of distance on the map to the distance of that unit in reality. R.F scale is devoid of units as it is a ratio, and hence it can be used for any until as long as the same unit is used on both sides.

The formula for determining RF factor is as follows:

Map distanceEarth distance=1Representative Fraction denominator

It is given that 10 centimeters (0.328 feet) is the map distance and 1 kilometer (3281 feet) is the Earth’s distance

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