Question
Download Solution PDFThe magnetic bearing of a line is 57°30' and the magnetic declination at that place is 4°30' East. The true bearing will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
True Bearing Calculation
In surveying, the true bearing of a line is determined by adjusting the magnetic bearing with the magnetic declination. The formula for calculating the true bearing is:
True Bearing = Magnetic Bearing ± Magnetic Declination
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If the magnetic declination is East, it is added to the magnetic bearing.
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If the magnetic declination is West, it is subtracted from the magnetic bearing.
Given Data:
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Magnetic Bearing = 57°30'
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Magnetic Declination = 4°30' East
Step-by-Step Calculation:
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Since the magnetic declination is East, we add it to the magnetic bearing.
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Convert the magnetic bearing and declination to decimal degrees:
- Magnetic Bearing: 57°30' = 57.5°
- Magnetic Declination: 4°30' = 4.5°
True Bearing:
True Bearing = Magnetic Bearing + Magnetic Declination
True Bearing = 57.5° + 4.5°
True Bearing = 62°
Final Answer:
The true bearing of the line is 62°.
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