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Measuring slope

 
 
JTT
 
Reply Fri 13 Jan, 2006 12:57 am
Could someone please tell me how percent of slope, say a 10% slope, equates to degrees of a slope and further, to rise versus run.

Example:

10% slope = __degrees of slope = ___ inches of rise / ___ inches of run
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Type: Discussion • Score: 0 • Views: 2,377 • Replies: 8
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talk72000
 
  1  
Reply Fri 13 Jan, 2006 01:17 am
100% = 45 degrees slope.
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raprap
 
  1  
Reply Fri 13 Jan, 2006 08:09 am
slope is rise over run---inceasing to the right--slope is positive, to the left--negative.

As for percentage, recall that percentage is decimal with the point shifted two places to the left.

Rap
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George
 
  1  
Reply Fri 13 Jan, 2006 08:35 am
Assuming we define the terms as follows:
Rise = height
Run = horizontal distance
Percent of slope = rise over run
If the rise is 10 feet over a run of 100 feet, then the percent of slope is 10%.
Degrees of slope = the angle of the slope
If one side of the right triangle thus formed is 10 and the other is 100, then the angle opposite the side with the length of 10 is 5.71 degrees.
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roger
 
  1  
Reply Fri 13 Jan, 2006 02:01 pm
I asked the same question recently and got the same answer, with out the conversion to degrees.
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JTT
 
  1  
Reply Fri 13 Jan, 2006 09:19 pm
George wrote:
Assuming we define the terms as follows:
Rise = height
Run = horizontal distance
Percent of slope = rise over run
If the rise is 10 feet over a run of 100 feet, then the percent of slope is 10%.
Degrees of slope = the angle of the slope
If one side of the right triangle thus formed is 10 and the other is 100, then the angle opposite the side with the length of 10 is 5.71 degrees.


Thank you very much, George.
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JTT
 
  1  
Reply Sat 14 Jan, 2006 03:54 am
One more question, if I may.

Quote:

Degrees of slope = the angle of the slope
If one side of the right triangle thus formed is 10 and the other is 100, [we have a slope of 10%, as you said] then the angle opposite the side with the length of 10 is 5.71 degrees.


What is the formula to determine the degree of slope from any given rise/run configuration?
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raprap
 
  1  
Reply Sat 14 Jan, 2006 10:06 am
Rise over run times 100. Rise over run is also the tangent.

The tangent of an angle is the length of the opposite side divided by the length of the adjacent side of a right triangle. This is the same as the rise and the run respectively.

So if I was wanted the slope of an angle in percentage and was given the angle in degrees I'd multiply the tangent of that angle in degrees by 100.

Rap
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markr
 
  1  
Reply Sat 14 Jan, 2006 05:02 pm
angle = arctan(rise/run)
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