Describe in words the exact direction that is 697.5° clockwise from due north?

To determine a direction from an angle greater than 360 degrees, the first step is to find its equivalent position on a standard compass. A full circle is 360 degrees, so traveling 697.5 degrees is the same as completing one full clockwise rotation and then continuing for an additional 337.5 degrees (697.5 - 360 = 337.5). This places the final heading in the fourth quadrant of the compass, somewhere between due West (270°) and due North (360°).

The traditional mariner’s compass provides a wonderfully descriptive system for naming these directions. The point exactly halfway between North (360°) and West (270°) is North-West, located at 315°. Our angle of 337.5° is positioned precisely halfway between North-West (315°) and North (360°). The name for this point is derived by combining the two directions it bisects, giving us North-North-West.