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Question

The following bearings were taken in a closed compass traverse.

Calculate the corrected fore bearing of line 'DE' by assuming that the observed bearing of line 'CD' is correct.

A.

230°5'

B.

230°15'

C.

229°55'

D.

230°10'

Answer ( Option A)

230°5'

Solution

Included angle = Fore bearing of next line - Back bearing of previous line.

The sum of Included angle in the clockwise direction (i.e., excluded angle) = (2n+4)90° = (2x5+4) × 90° 

    =1260° 

Total sum of final included angle = 1260°25' 

So, error = 1260°25' - 1260° = 25' 

Correction = -25'

Hence, Corrected included angle D = 239°20' –


Fore bearing of line DE = Included angle D + Back bearing of CD+

Fore bearing of line DE= 239°15' + 350°50' = 590°05' – 360° = 230°5'


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