Back bearing of a line is equal to

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APSC JE Civil 14 Jul 2024 Official Paper
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  1. fore bearing ± 90°
  2. fore bearing ± 180°
  3. fore bearing ± 360°
  4. fore bearing ± 270°

Answer (Detailed Solution Below)

Option 2 : fore bearing ± 180°
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Detailed Solution

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Explanation:

Back Bearing of a Line

Back bearing is the direction measured from the endpoint of a line towards its starting point. It is the reverse of the fore bearing, with a 180° difference in azimuthal direction. This concept is crucial in surveying to determine the opposite direction of a traverse.

Analyzing the Given Options

  1. Option 1: Fore bearing ± 90° (Incorrect)

    • Back bearing is always 180° from the fore bearing, not 90°.

    • This option is mathematically incorrect for back bearing calculations.

  2. Option 2: Fore bearing ± 180° (Correct)

    • Back bearing is calculated as the fore bearing ± 180° to account for the reverse direction.

    • If the fore bearing is less than 180°, add 180°; if it is greater than 180°, subtract 180°.

  3. Option 3: Fore bearing ± 360° (Incorrect)

    • 360° adjustment is unnecessary since bearings are measured within a 360° circle.

    • This option is redundant and does not align with standard surveying practices.

  4. Option 4: Fore bearing ± 270° (Incorrect)

    • 270° adjustment is not a standard method for calculating back bearing.

    • This option does not reflect the reverse direction of the line accurately.

Conclusion: The correct answer is Option 2: Fore bearing ± 180°.

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