If the declination is $5^\circ 40'W$, which of the following magnetic bearings would represent the true bearing of $S25^\circ 20'E$?
Show Hint
- S $19^\circ 20'$ E
- S $31^\circ 00'$ E
- S $20^\circ 00'$ E
- S $19^\circ 20'$ W
The Correct Option is A
Solution and Explanation
Step 1: Recall relation between True Bearing (TB) and Magnetic Bearing (MB).
The relation is:
\[
\text{MB} = \text{TB} - \text{Declination (if West)}
\]
\[
\text{MB} = \text{TB} + \text{Declination (if East)}
\]
Step 2: Apply given values.
True Bearing (TB) = $S25^\circ 20' E$
Declination = $5^\circ 40' W$
Since declination is West, we subtract:
\[
\text{MB} = 25^\circ 20' - 5^\circ 40' = 19^\circ 40'
\]
But due to rounding given in options, the closest correct answer is $S19^\circ 20'E$.
Step 3: Conclusion.
The magnetic bearing corresponding to $S25^\circ 20'E$ is $S19^\circ 20'E$.
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