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# #Solarmooc Arctan Solution

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Explanation of how to convert rise/run to roof pitch angle.

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### #Solarmooc Arctan Solution

1. 1. What is the pitch angle of a 2/12 roof? SolPowerPeople, Inc. Austin, TX March 6, 2012
2. 2. First we must understand what 2/12 means?
3. 3. It refers to the rise over the run 2” 12”
4. 4. For every 2” of rise, there is 12” of run 2” 12”
5. 5. So how do we solve for the angle? 2” ?° 12”
6. 6. We know that the tangent of the angle is equal to the opposite over the adjacent oppositeOpposite tan(q )° = adjacent 2” ?° 12” Adjacent
7. 7. Therefore, 2 divided by 12 is the tangent of the angle which is 0.1666Opposite 2” ?° 12” Adjacent
8. 8. How to solve In order to convert from the tangent of an angle toOpposite the actual angle value use the arctan function 2” ?° 12” Adjacent
9. 9. Arctan functionPress shiftor 2nd key
10. 10. Arctan functionPress Arctan key(i.e. tan-1 key)
11. 11. Arctan functionAnswer: 2/12 pitchroof has a pitchangle of 9.46°