On 4 June at 0630 ZT, morning stars were observed, and the vessel's position was determined to be LAT 26°15'S, LONG 121°20'W. Your vessel is steaming at 13.0 knots on a course of 246°T. A sextant observation of the Sun's lower limb is made at 0915 ZT. The chronometer reads 05h 14m 27s, and the sextant altitude is 25°57.8'. The index error is 2.1' off the arc, and the chronometer error is 0m 53s slow. Your height of eye is 39.0 feet. What is the azimuth (Zn) and intercept (a) of this sight using the assumed position method?

Question

On 4 June at 0630 ZT, morning stars were observed, and the vessel's position was determined to be LAT 26&deg;15'S, LONG 121&deg;20'W. Your vessel is steaming at 13.0 knots on a course of 246&deg;T. A sextant observation of the Sun's lower limb is made at 0915 ZT. The chronometer reads 05h 14m 27s, and the sextant altitude is 25&deg;57.8'. The index error is 2.1' off the arc, and the chronometer error is 0m 53s slow. Your height of eye is 39.0 feet. What is the azimuth (Zn) and intercept (a) of this sight using the assumed position method?

Accepted Answer

Option B: Zn 044.6&deg;, a 2.5' T. Advance DR position for the run between star sights and the Sun observation. Compute GMT, apply altitude corrections, solve the intercept equation using an assumed position, and extract azimuth (Zn) and intercept (a) per Bowditch sight reduction methods, yielding Zn 044.6°, a 2.5' T.