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Calculating the Plywood Cut Angle.

To calculate the plywood cut for any regular hip roof simply divide the base run of 12 by the unit length for the pitch used and preform the ArcTangent function on the quotient. If you were working with a 9/12 roof it would be Tan-1(15/12) = 51.34° where 15 is the unit length of a 9/12 common rafter.

You can also use a framing square to mark the angle directly on the plywood sheet.

Since this cut is a compound cut some might want to cut the bevel on the sheet when cutting if so you can find the angle to tilt your saw blade by tan-1(sin(hip angle)). You can determine the hip angle for any regular roof by hip angle = tan-1(rise / (12*sqrt(2))). In the case of a 9/12 roof

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