58 degrees North of East means starting at East and turning 58 degrees anti-clockwise towards North, resulting in a compass heading of 32 degrees. In contrast, 58 degrees East of North involves starting at North and turning 58 degrees clockwise towards East, giving a compass heading of 58 degrees. The key difference lies in the direction of the initial reference point and the angle of turn. Understanding the order of the terms is crucial, as it changes the resulting compass heading. Clarity in terminology is essential for accurate navigation.