Question
Download Solution PDFThe bearing of a line AB is 150°15' and the angle ABC between line AB and BC is 110°30' as shown in the given figure.
What is the bearing of line BC?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
We know the relationship between FB and BB
Back bearing (BB) = Fore bearing (FB) ± 180°.
+ve sign is used if FB is less than 180° and –ve sign is used if FB is more than 180°.
Included angle = Fore Bearing of next line - Back Bearing of the previous line
Calculation:
Fore Bearing of AB = 150°15'
Included Angle ABC = 110°30'
Back Bearing of AB = 150°15' + 180° = 330°15'
Included angle ABC = F.BBC - B.BAB
110°30' = F.B.BC - 330° 15'
F.B.BC = 440°45'
F.B.BC = 440°45' - 360° = 80° 45'
Note:
If the included angle is negative, then add 360°.
If the included angle is greater than 360° then deduct 360°.
Last updated on May 28, 2025
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