Convert the following reduced bearings to whole circle bearings:(a) N 46° 30′ E(b) N60°30’W(c) S 80° 00′ E,(d) S 20°00′ W
SOLUTIONS:
( a ) N 46° 30′ E
Rule: For 1 Quadrant WCB Of
= RB= 46° 30′ ( It is First Quadrant )
(b) S 80° 00′ E
Rule : It is a Second Quadrant
WCB= 180° – RB
= 180° – 80° 00′
= 100 ° 00′
(C) S 20°00′ W
Rule : It is a third Quadrant
WCB= 180° + RB.
= 180°+ 20°00′
= 200°00′
(d) N 60° 30′ W
Rule; It is a Fourth Quadrant WCB
= 360°- RB
= 360°- 60°30′
= 299° 30′ (WCB)
CONVERSION OF REDUCED BEARING and WHOLE CIRCLE BEARING
| Reduced bearing | corresponding | whole circle bearing |
| N to E | WCB= RB | 0 to 90° |
| S to E | WCB= 180°- RB | 90° to 180° |
| S to W | WCB= 180°+RB | 180° to 270° |
| N to W | WCB = 360° – RB | 270° to 360° |