In an old plan, a line was drawn to a magnetic bearing of 7° 25’ with a magnetic declination of 2° 5’ west. If the present magnetic declination is 9° 40’ west, then the new magnetic bearing should be drawn at __________. 

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SSC JE Civil 10 Oct 2023 Shift 3 Official Paper-I
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  1. −4° 20’
  2. −15°
  3. 4° 20’
  4. 15°

Answer (Detailed Solution Below)

Option 4 : 15°
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Detailed Solution

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Concept

  • Magnetic declination: At any place horizontal angle between true meridian and magnetic meridian is called magnetic declination

For Eastern declination,
α = β + θE or T.B = M.B + θE
For western declination,
α = β – θW or T.B = M.B – θW
Here,
α = true bearing or T.B
β = magnetic bearing or M.B
θE = eastern declination
θW = western declination

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Calculation:
Given
Initial magnetic bearing = 7° 25’
Initial magnetic declination = 2°5' West
Present magnetic declination = 9° 40’ west

Solution:

True bearing of line = 7° 25 - 2°5' = 5° 20’
Now, T.B = M.B - 9° 40’
5° 20 = M.B - 9° 40’
∴ M.B = 15° (Ans)

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