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I'm pretty sure the shadow you want is at 6am and 6pm, not at 9am or 3pm if you know what I mean.
So if your solar noon is 12:24 the shadow of a vertical object wil fall North South (i.e. the shadow on the ground will point south.)
The shadow would be pointing East-West on that same day at 6:24am or 6:24pm or thereabouts.
I think it is how it works?
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