Navigation Problems USCG Question #1612 (Set 48)

On 21 April your 1542 zone time DR position is LAT 28°54.0'S, LONG 19°07.0'W. At that time, you observe the Sun bearing 299°psc. The chronometer reads 04h 44m 11s, and the chronometer error is 01m 54s fast. The variation is 3°E. What is the deviation of the standard compass?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 0.3°W

Calculate the Sun's declination for 21 April. Determine the true amplitude using sin(Amp) = sin(Dec) / cos(Lat). Convert the true amplitude to a true bearing. Apply the 3°E variation to the compass bearing of 299°psc to find the magnetic bearing. The difference between true and magnetic bearings results in 0.3°W deviation.

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