angle to percent grade
angle to percent grade
by kim on 06/07/04 at 06:53:44
My high school trig has failed me. how do you convert an angle in degrees to a percent grade (as on a highway - 10 % grade)?
we recently were on the Mount Washington Cog Railway - the second steepest in the world at a 39 degree incline. i believe that a 45 degree incline is a 100 percent grade but cannot figure out how to arrive at the correct grade for a 39 degree incline.
thanks!
Kim
Re: angle to percent grade
by Robert Fogt on 06/07/04 at 17:23:23
The slope is the Tangent of the angle.
Slope is rise/run, and the % grade is 100 times the slope. So a slope of 1/1 would be a 100% grade, which is indeed a 45 degree angle.
So if you know the degree of the angle, just enter it into your scientific calculator then hit Tangent.
The Tangent of 39 degree angle is:
0.809784
That is the slope, now multiply by 100 to get the % grade.
80.9784 %
Re: angle to percent grade
by Kim Pollock on 06/08/04 at 10:41:48
Thanks Robert -
I missed the part about multiplying by 100 - mystery solved!
Kim P