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The magnetic bearing of a line AB is S25°E. If the declination is 5° West, then what is the true bearing?
1. S30°E
2. N30°W
3. S20°E
4. N20°W

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Correct Answer - Option 1 : S30°E

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

Here, α = True bearing (T.B)

β = Magnetic bearing (M.B), and

θ= Eastern declination

For Western Declination:

α = β – θw or T.B = M.B – θw

Here, θw = western declination.

Calculation:

Magnetic bearing of a line AB = S25°00’E = 155°00’

Declination = 5°00’ West

∴ True bearing = 155°00’ - 5°00’ = 150° = S30°00’E

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