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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' |
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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 |
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Figure A-9 |
Rather then memorize tables, drawing a sketch will help determine correct conversion logic to use.