On 2 October your 1845 DR position is LAT 28°09.2'S, LONG 167°48.1'E. You observe a faint star through a hole in the clouds at a sextant altitude (hs) of 63°29.1' bearing 237.5°T. The index error is 1.3' off the arc, and the height of eye is 42 feet. The chronometer reads 07h 46m 19s and is 0m 51s fast. What star did you observe?

Correct Answer: Option A — Kappa Scorpii

Apply index error and dip correction to the sextant altitude to obtain Ho. Calculate GHA Aries and LHA for the DR position. Using the celestial triangle formulas, the calculated LHA and declination align with Kappa Scorpii, confirming the star identity based on the observed bearing and altitude.