(no subject)

It's well known that Jews pray (roughly) facing Jerusalem, and Muslims facing Mecca. I've just learned from Wikipedia that North American Muslims are split between praying in the traditional direction, along a Great Circle route to Mecca, viz. northeast, and along a Mercator's projection route to Mecca, viz. southeast.

I wonder how we grappled with that problem. Neither Wikipedia, the Jewish Encyclopedia nor the Encyclopaedia Judaica answer this.