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50% grade = slope of 1/2 =

(one half unit of rise)/(one unit of run) =

arctan(0.5) = 26.565 degrees

Check validity with tangent function:

tan(26.565 degrees)=0.5

tan() function always gives you the slope, if you put in degrees. Arctan does the inverse.

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Q: What is the angle of 50 percent grade?
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What is 15 percent of a 50 grade?

7.5 is 15% of 50.


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