Determining the direction in which to face another location on the globe is a problem with significant social and religious meaning, and one with a rich and interesting history in the Western world. Yet a fully satisfying geographic solution to this problem is hindered by our intuitive perception of the world as a flat surface-where a "straight" path (1) is the shortest distance, and (2) maintains a constant angle. On a curved surface, however, only one of these two properties can be satisfied: the first, by a great circle; the second, by a rhumb line. These two solutions are analyzed, compared, and applied to the direction-facing problem.