A line PQ in an old map had magnetic bearing of N 57° E when the local magnetic declination was 2°E. If the magnetic declination is now 4°W, what will be the magnetic bearing of the line PQ now?

A line PQ in an old map had magnetic bearing of N 57° E when the local magnetic declination was 2°E. If the magnetic declination is now 4°W, what will be the magnetic bearing of the line PQ now? Correct Answer N 63° E

Concept:

TB (True Bearing) = MB (Magnetic bearing) ± Declination

(Use + ve for eastern and – ve for western declination)

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Calculation:

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True bearing of a line, TB is given by

TB = Magnetic Bearing (MB) ± Magnetic Declination

Use Positive sign, when Magnetic Declination is towards East and use negative sign when magnetic declination is towards West.

When Magnetic Declination is towards 20 East.

MB = N570 E

TB = 57 + 2 = 590 or N 590 E ( see fig 1)

When Magnetic Declination is towards 40 West.

MB = ?

True bearing of line would not change due to change in Magnetic Meridian.

59 = MB - 4

∴ MB = 630 or N 630 E (see fig 2)

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