Circle bearings to reduced bearings:

Convert the subsequent whole circle bearings to reduced bearings

(a) 42^o 58′ (b)       156^o 12′ (c)      219^o 47′ (d)     327^o 34′

(a)                                                                    (b)

(c)                                                                    (d)

 Figure: RB from WCB

Solution

The conversion can be conveniently achieved with the help of sketches as shown below :

(a)        WCB = 42^o 58′

The survey line lies in 1st quadrant

Hence RB = WCB, i.e. RB = N 42^o 58′ E

(b)       WCB = 156^o 12′

In second quadrant RB = 180^o - WCB

= 180^o - 156^o 12′ = S 33^o 48′ E

(c)        WCB = 219^o 47′ In third quadrant RB = WCB - 180^o

= 219^o 47′ - 180^o = S 39^o 47′ W

(d)       WCB = 327^o 34′

In fourth quadrant

RB = 360^o - WCB

= 360^o - 327o34′ = N 32^o 26′ W