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If 1 inch on the map represents 1 mile on the ground, what is the representative fraction (R.F.)?

A. 1:1
B. 1:10,000
C. 1:24,000
D. 1:63,360

Answer :

Final answer:

The Representative Fraction (RF) is a ratio that expresses map scale and any unit of measure can interpret it. RF 1:24,000 means 1 map unit equals 24,000 real-world units. Convert map measurements to actual distances by multiplying with the RF and converting units if necessary.

Explanation:

The question involves understanding the concept of Representative Fraction (RF), which is a way of expressing the scale of a map. The RF is presented as a simple ratio where the numerator (1) represents the map distance and the denominator represents the ground distance. For example, an RF of 1:24,000 means that 1 unit on the map corresponds to 24,000 units in the real world. It's important to use the same units on both sides of the ratio, so 1 inch on the map equals 24,000 inches on the ground. One can convert inches to miles using the conversion factor where 1 mile is equal to 63,360 inches.

When working with scale conversions, if the measured distance on the map is known, multiplying it by the denominator of the RF yields the actual distance. For instance, if the distance on the map is 2 inches and the RF is 1:24,000, the actual distance is 2 inches multiplied by 24,000, which is then converted to miles.

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