Purely by coincidence, I have recently been investigating for work the opposite extreme of "do I turn left or right": what is the greatest accuracy (or to be really precise, reproducibility) you can get out of a magnetic compass. Two colleagues and I took turns to sight on a distant object then compared results. We found that the mirror version of a standard hill-walking Silva compass (£50) gave us one degree spread, but a NATO-spec army-grade prismatic sighting compass (£500) had us agreeing to half a degree.
Sometimes I find my job requiring me to do really quite agreeable things