math
 

 math  roof







 

Question by  lukman (20)

How do I convert roof pitch measurements to degrees?

I'd like to convert the roof's slope to degrees, and vice versa. What is the formula to do this?

 
+7

Answer by  rwill72 (154)

You can use the following formula: "Degrees=tan-1 (rise/run)". This should give you the answer that you are looking for.

 
+6

Answer by  LuptonsavedbyJesusyahoocom (32)

Take the inverse tangent of the roof's slope to get the degree measurement the roof makes with a horizontal plane. Take the tangent of the angle that the roof makes with a horizontal plane to get the roof's slope. You have tan(roof's angle) = roof's slope and inversetan(roof's slope) = roof's angle).

 
+6

Answer by  esteban (1334)

If A is the angle of the roof, then the formula is tan(A) = rise/run, and equivalently, Arctan(rise/run) = A. For example, with a pitch of 7/12, we have: Arctan(7/12) = 30.25 degrees. And for an angle of 45 degrees, we have: tan(45) = 1 = 12/12.

 
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