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Slope is determined by rise and run. Or the distance between two points, the distance in height (vertical distance) and the lateral distance apart (level distance).

If a step has a riser of 6" and a tread of 12", the rise (6") over the run (12") would then become 6/12 or a slope of 45 degrees. 12/12 would be vertical and 0/12 would be horizontal. From horizontal to vertical is 90 degrees. So 6/12 is one half, of 90degrees which is 45 degrees.

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Q: What facts are needed to indicate the average slope between two points on a topographic map?
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