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Question 1: Convert the following statement scale to a Representative Fraction (RF) scale: Statement Scale: 1 inch represents 5 miles RF Scale: _____________

Question

Question 1: Convert the following statement scale to a Representative Fraction (RF) scale:

Statement Scale: 1 inch represents 5 miles

RF Scale: _____________

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Solution

To convert the statement scale to a Representative Fraction (RF) scale, follow these steps:

  1. Identify the units used in the statement scale. In this case, it's inches and miles.

  2. Convert these units to a common unit. The most common unit used in map scales is meters. So, convert inches and miles to meters.

    1 inch = 0.0254 meters 5 miles = 8046.72 meters

  3. Now, write these conversions in fraction form, which is the format of an RF scale. The fraction is written as 1 : n, where 1 is the map distance and n is the actual ground distance.

    So, the RF scale is 1 : 316,800,000

This means that 1 unit (in this case, meters) on the map represents 316,800,000 units on the ground.

This problem has been solved

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