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I am building a pergola in my back yard to support a solar collector for my pool. I need assistance with determining the height of the corners of the panel.

The pergola is oriented to the other landscape and cannot be rotated. Due to the proximity to my property line, I cannot rotate the collector panel to face true south--so I am left to have one corner of the collector at "0" height above the pergola, and I will vary the heights of the other three corner supports to as to achieve the desired angle and orientation to true south. (I determined true south via a plumb-bob at exact moment of my local "solar noon".) True North is 22.8 degrees off from Plan North (see drawing)

I need the collector to be tilted at 13.862 degrees, based on facing true south. The collector measures 10'4" x 10'0" (see drawing). Given the corner closest to true South as zero inches above the pergola, what will the heights of corners A, B and C be?

I'm good with normal trig, but this one throws me due to the mis-orientation of plan south and true south. Please explain how you arrived at your calculations since I will need to recalculate when I go to change the tilt for Winter.

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