Question

The magnetic bearing of line AB is 88°45'. Calculate the true bearing if the magnetic declination is 5°30' east.

• A. 93°15'
• B. 83°15'
• C. 94°15'
• D. 84°15'

Hint:

When calculating true bearing, add the magnetic declination to the magnetic bearing. If the declination is east, add it; if it is west, subtract it.

Answer 1

The Correct Option is A

Step 1: Magnetic Declination Explained.
Magnetic declination is the angle separating magnetic north and true north. A declination of 5°30' east signifies that magnetic north lies 5°30' east of true north.
Step 2: Calculating True Bearing.
The true bearing is determined by adding the magnetic declination to the magnetic bearing of line AB. Given a magnetic bearing of 88°45' for line AB and a magnetic declination of 5°30' east: \[ \text{True Bearing} = 88°45' + 5°30' = 93°15'. \]
Step 3: Conclusion.
Thus, the true bearing of line AB is 93°15', corresponding to answer option (1).

Final Answer: \[ \boxed{93°15'} \]