Q: Rabbi Maroof,
Here in , the shortest distance from to follows a great circle (http://en.wikipedia.org/wiki/Great_circle) which is an arc which starts its bearing at NE and eventually becomes SE. Therefore maybe we should face northeast. On the other hand the rhumb line ( http://en.wikipedia.org/wiki/Rhumb_line) has a constant bearing of SE. What is the definition of the halacha for where we are to face during davening?
A: Dear Abraham,
The Aruch Hashulchan addresses this question and explains that the halacha does not require us to be precise when it comes to facing Jerusalem during prayer. As long as the general direction "East" is accurate, we need not be concerned with nuances of Northeast and Southeast - all variations are equally acceptable.