When surveyors measure angles, the resultant calculations are typically reported as either azimuths or bearings. A bearing is an angle less than 90° within a quadrant defined by the cardinal directions. An azimuth is an angle between 0° and 360° measured clockwise from North.
The draw back would be that many crimes would go unpunished. Some victims could be to scared, some would prefer to forget about the crime and focus on other things in their lives.