Navigation Problems USCG Question #1591 (Set 47)

On 12 June at 0919 zone time, your position is LAT 26°52'N, LONG 84°34'W. The chronometer reads 03h 17m 00s. Chronometer error is 01m 40s slow. At that time, an azimuth of the Sun is obtained. The bearing is 089.5° per standard magnetic compass. Variation for this area is 4.5°E. What is the deviation of the standard magnetic compass?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 5.2°W

Calculate the Sun's declination and LHA to determine the true amplitude. Using the formula sin(Amp) = sin(Dec) / cos(Lat), find the true bearing. Applying the variation of 4.5°E to the compass bearing of 089.5°psc, the deviation is found by comparing the true bearing to the magnetic bearing, resulting in 5.2°W.

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