If the bearing of the side AB of a regular hexagon traverse ABCDEFA shown in the figure is 36°45', the bearing of the adjacent side BC of the traverse is:

F1 AbhishekM Madhuri 27.11.2021 D3

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  1. 83°15'
  2. 96°45'
  3. 156°45'
  4. 216°15'

Answer (Detailed Solution Below)

Option 2 : 96°45'
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Explanation:

The difference (degree) in the magnitude of the fore bearing and back bearing of any line is 180° or if the difference is exactly 180°, the two stations may be considered as not affected by local attraction.

For regular hexagon, Sum of interior angles = (n - 2)180° 

F1 AbhishekM Madhuri 27.11.2021 D4

Sum of interior angles = (6 - 2)180° = 720° 

Each interior angle = \(\frac{720}{6}\) = 120° 

Back bearing = 180° + Fore bearing = 180° + 36°45' = 216°45'

∴ Fore bearing of BC = 216°45' - 120° = 96°45'

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