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In an anticlockwise closed traverse ABCA all the sides were equal. Magnetic fore bearing of BC was obtained to be 15�30'. The bearing of sun was observed to be 184�30' at local noon with a prismatic compass. Calculate the magnetic bearings and true bearings of all the sides of the traverse. Tabulate the result s and draw a neat sketch to show the true bearings?
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In an anticlockwise closed traverse ABCA all the sides were equal. Mag...
Given Information:


  • Anticlockwise closed traverse ABCA

  • All sides are equal

  • Fore bearing of BC = 15°30'

  • Bearing of sun at local noon = 184°30'



Solution:

Calculating Magnetic Bearings:


  • As all sides are equal, the angle subtended at the center of the traverse by each side is 90°.

  • Therefore, sum of all the deflection angles is 360°.

  • Since the traverse is closed, the sum of all the magnetic bearings is also 360°.

  • Let the magnetic bearing of AB be x. Then, the magnetic bearing of BC will be x + 15°30'.

  • Similarly, the magnetic bearing of CA will be x + 30°.

  • Since the sum of all the magnetic bearings is 360°, we can write the equation as: x + (x + 15°30') + (x + 30°) + (x + 15°30') = 360°

  • Solving the equation, we get: x = 82°15'

  • Therefore, the magnetic bearings of all the sides are:


    • AB = 82°15'

    • BC = 97°45'

    • CA = 112°15'

    • AC = 67°45'




Calculating True Bearings:


  • To calculate true bearings, we need to apply magnetic declination.

  • Let the magnetic declination be 2°30'W (west is subtracted).

  • To convert magnetic bearings to true bearings, we need to add the magnetic declination for west declination and subtract for east declination.

  • Therefore, the true bearings of all the sides are:


    • AB = 84°45'E

    • BC = 99°15'E

    • CA = 113°45'E

    • AC = 68°15'E




Sketching the Traverse:


A neat sketch of the traverse is shown below, with the true bearings marked on each side:



Summary:


The magnetic bearings and true bearings of all the sides of the anticlockwise closed traverse ABCA have been calculated and tabulated below:






















SideMagnetic BearingTrue Bearing
AB82°15'84°45'E
BC97°45'99°15'E
CA112°
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In an anticlockwise closed traverse ABCA all the sides were equal. Magnetic fore bearing of BC was obtained to be 15�30'. The bearing of sun was observed to be 184�30' at local noon with a prismatic compass. Calculate the magnetic bearings and true bearings of all the sides of the traverse. Tabulate the result s and draw a neat sketch to show the true bearings?
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In an anticlockwise closed traverse ABCA all the sides were equal. Magnetic fore bearing of BC was obtained to be 15�30'. The bearing of sun was observed to be 184�30' at local noon with a prismatic compass. Calculate the magnetic bearings and true bearings of all the sides of the traverse. Tabulate the result s and draw a neat sketch to show the true bearings? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In an anticlockwise closed traverse ABCA all the sides were equal. Magnetic fore bearing of BC was obtained to be 15�30'. The bearing of sun was observed to be 184�30' at local noon with a prismatic compass. Calculate the magnetic bearings and true bearings of all the sides of the traverse. Tabulate the result s and draw a neat sketch to show the true bearings? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an anticlockwise closed traverse ABCA all the sides were equal. Magnetic fore bearing of BC was obtained to be 15�30'. The bearing of sun was observed to be 184�30' at local noon with a prismatic compass. Calculate the magnetic bearings and true bearings of all the sides of the traverse. Tabulate the result s and draw a neat sketch to show the true bearings?.
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