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  • 04-03-2022
  • Mathematics
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PLEASE HELP ME ! Convert the following description to a proper scale ratio:
8.4 cm represents an actual distance of 33.6 km.

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sqdancefan
sqdancefan sqdancefan
  • 04-03-2022

Answer:

  1 : 400,000

Step-by-step explanation:

A map scale is usually represented as a unit fraction, one with 1 in the numerator. It has no units, which is to say that it is the ratio of same units.

It can be found by dividing the map dimension by the ground dimension when both are expressed in the same units.

  (8.4 cm) / (33.6 km) = (8.4×10^-2 m) / (33.6×10^3 m) = (8.4/33.6)×10^-5

  = 0.25×10^-5 = 1/400,000

__

Additional comment

Map scales are often expressed using the colon for the ratio unit separator:

  1 : 400,000

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