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The Representation of distance on the map?

Updated: 8/21/2019
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On a map with a scale of 1:50 000 (one to fifty thousand), a centimetre measured on the map represent 50,000 centimetres on the ground.

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Q: The Representation of distance on the map?
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What kind of map is a rectangular representation of earth that shows accurate direction but distorts size and distance?

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