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Question 563898:
Found 3 solutions by Theo, Edwin McCravy, Alan3354:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if you are looking for the shortest distance between each of these, then i believe the table should look like this:
	E	NNE	NE	SE	WNW
N	90	22.5	45	135	67.5
ENE	22.5	45	22.5	67.5	135
NW	135	67.5	90	180	22.5
WSW	157.5	135	157.5	112.5	45
SSW	112.5	180	157.5	67.5	90


in some cases you had the right distance, but it was the longer distance between them rather than the shorter distance.
the shorter distance always had to be less than 180.
i based my number on the following diagram:
$$$$
each interval is equal to 22.5 degrees.
to calculate the distance between selected points, just count the number of dots
for the shortest distance between them to come up with the difference.
example:
WSW to ESE is 6 dots
6 * 22.5 = 135 degrees.
WSW is at 247.5 degrees
ESE is at 112.5 degrees
247,5 - 112.5 = 135 degrees.
another example:
NNW to NNE is 2 dots
2 * 12.5 = 45 degrees
337.5 - 22.5 = 315 degrees
this is actually the long way around because it is greater than 180 degrees.
to convert it to the shortest way around, subtract it from 360 degrees to get 45 degrees.
i saw only one distance where you actually calculated it wrong.
i believe that was SSW to SE.
you showed 247.5 and i calculated 67.5 the short way there and 292.5 the long way.
anyway, that's my view of it.
you can use the chart to double check your work as well.

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
You can check them at this site:
http://en.wikipedia.org/wiki/Boxing_the_compass

Answer by Alan3354(69443) About Me  (Show Source):