A 6/12 roof pitch is not 22.5 degrees because roof pitch angles are calculated using trigonometric ratios rather than linear divisions of a circle. A 6/12 pitch means the roof rises six vertical inches for every twelve horizontal inches, which yields an angle of approximately 26.56 degrees when calculated using the arctangent of 6 divided by 12. In contrast, an angle of 22.5 degrees corresponds mathematically to a 5/12 pitch ratio (specifically 4.97/12 rounded up), which is why a steeper 6/12 pitch results in a larger degree measurement.
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