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3. Converting Between Bearings and Azimuths

Since Bearings and Azimuths are both referenced to a meridian it is simple to convert one to the other.

To convert from bearings to azimuths:

Table A-1
Quadrant From Bearing To Azimuth
NE N β E β
SE S β E 180° - β
SW S β W 180° + β
NW N β W 360° - β

Example

Azimuth AB = 66°40'

Azimuth AC = 180°00' - 55°32' = 124°28'

Azimuth AD = 180°00' + 44°21' = 224°41'

Azimuth AE = 360°00' - 37°34' = 322°26'

Figure A-8
Azimuths from Bearings
 

 

To convert from an azimuth, α, to a bearing:

Table A-2
Quadrant To Bearing

NE

N α E

SE

S (180° - α) E

SW

S (α - 180°) W

NW

N (360° - α) W

Example

Bearing AB = N 64°40' E

Bearing AC = S (180°00'-124°28') E = S 55°32' E

Bearing AD = S (224°21' - 180°00') W = S 44°21' W

Bearing AE = N (360°00' - 322°26') W = N 37°34' W

Figure A-9
Bearings from Azimuths

 

 

Rather then memorize tables, drawing a sketch will help determine correct conversion logic to use.

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