Thanks John. That makes sense to me.

So assuming a sheeting angle of about 30 degrees from the centerline of the board in the above example, (just a guess - could be more or less), that would give the sail approximately a 25 deg AOA. If the sheeting angle is less, say 20 deg. AOA is more, in this case 35 deg.
I wonder if we can somehow get a ball park figure for the optimum sheeting angle to the apparent wind on different courses from the true wind for a windsurfer using these calculations and assumptions?
For instance, I observed I could do around 26-27 knots speed on pretty close to a square reach, in, I estimate, around 16-17 knots of wind. (Flat water, IS86, Tribal speeded 27cm Koncept 6.2m sail) I am sheeted so the foot of the sail is right in against of my leeward rear footstrap. That suggests around 10 degrees sheeting angle to me, and I can feel the apparent wind is very forward.
But in 26-28 knots of wind I can only pull about 30-32 knots on a beam reach. Sheeting angle is very similar but maybe a little further out. (Flat water, IS50, 20cm speed fin, 5.0m Koncept.) Note: Quoting these speeds is tricky, because just a small change of course angle broader will quickly add knots to the speed, especially in the latter case.
On a speed board at top speed in 38+ knots of wind the sheeting angle is definitely out further.
What angle does this look like?

And another random example: