Vincent L.

asked • 08/30/16

Bearings - Size of the angle

I know that N ane E is 90º between each other but what is S and ESE? Apparently it's 67º30', I don't understand it, please help me!

David S.

tutor
Having a circle with the locations for each of the 8 main directions is an important place to start.
 
With North at the top of the circle, could you say for sure whether ESE looks like it's above or below the SE direction?  That'd be something important to share so that I know how to help you out.  
 
Also at what bearing would the SE direction be located: greater than 180º or less than 180º?  Remember there will be 360 full degrees around the circle and you're correct in that the values get bigger going clockwise around the circle.  I'll check back a little later to see how you answer.
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08/30/16

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David S. answered • 08/30/16

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ESE is half way between E and SE.  You correctly identified E as 90 degrees.  So SE is 45 degrees more than 90 degrees.  Half way would only be 22.5 degrees more than 90 degree.  So ESE would be at a bearing of 112.5 degrees.
 
S is at 180 degrees.  So the size of the angle between S and ESE would be the difference in their bearings: 67.5 degrees.
 
The minutes unit should be relatively straight-forward to figure out.  The half a degree is worth 30 minutes since a full degree is worth 60 minutes.  Hope that helps.
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