Convert the following QB or reduced bearings into whole circle bearings
(a) N 45° 15 E(b) S 42° 20′ E(c) S 10° 45′ W(d) N 50° 15′ W ( e) N 36° 30′ E (f) S 28° 00′ E (g) S 47°0′ W (h) N 58° 30′ W
solutions :
(a) Reduced bearing (or) Quadrant bearing =S 45°15’E
Rule For First quadrant : WCB = RB
WCB = 45°15′
(b) Reduced bearing (or) Quadrant bearing = S 42°20’E
Rule for second quadrant : WCB= 180°- RB
WCB = 180° – 42°20′
WCB = 137°40′
(c)Reduced bearing (or) Quadrant bearing = S10°45′ W
Rule For Third Quadrant : WCB= 180° + RB
WCB= 180+ 10°45′
WCB= 190°45′
(d)Reduced bearing (or) Quadrant bearing = N50°15′ W
Rules For Fourth Quadrant : WCB= 360° – RB
WCB= 360° – 50°15′
WCB= 309° 45′
(e)Reduced bearing (or) Quadrant bearing = N 36°30’E
Rule For first quadrant : WCB= RB
WCB=36°30‘
(F) RB or QB = S28°00’E
Rule For second Quadrant : WCB= 180° – RB
WCB= 180°- 28°00′
WCB= 152°00′
(g) RB or QB = S 47°00′ W
Rule For Third Quadrant : WCB= 180° + RB
WCB= 180+47°00′
WCB= 227°00′
(h ) RB or QB = N58°30’W
Rules For Fourth Quadrant : WCB= 360° – RB
WCB= 360° – 58° 30′
WCB= 301°30′