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The Slope distance of a line is 78.77feet and the slope angle is 2 degrees 40'. What is the corresponding horizontal distance?
Wiki User
∙ 14y ago
First of all, 2 deg 40' = (8/3) degrees
remember soh-cah-toa...
sin(angle) = opposite Side Distance / hypotenuse Distance.
cos(angle) = adjacent Side Distance / hypotenuse Distance.
tan(angle) = opposite side distance / adjacent side distance...
the sides correspond to their location relative to the angle being measured.. knowing the hypotenuse distance, and the angle. you have:
cos(8/3) = your horizontal / hypotenuse length.
thus:
horizontal Distance = cos(8/3) * hypotenuse length = 78.68
Wiki User
∙ 14y ago
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What facts are needed to indicate the average slope between two points on a topographic map?
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.
