289. On 25 May your vessel's 1858 zone time position is LAT 21°05.0'N, LONG 143°27.0'E. At that time a sextant observation of the planet Venus was made. The sextant altitude is 12°53.4' and the chronometer reads 08h 59m 15s. The index error is 4.5' off the arc, and the chronometer error is 01m 25s fast. Your height of eye is determined to be 55.0 feet. What is the azimuth (Zn) of the sight using the assumed position?

The azimuth of the sight is calculated by reducing the Venus observation with the assumed position and converting the azimuth angle from the sight reduction tables to the true azimuth. This conversion is necessary because the tables provide an azimuth angle (Z), not the true azimuth (Zn), and the conversion depends on the observer's latitude, the planet's declination, and the local hour angle quadrant. In this case, with a north latitude, north declination, and a local hour angle west of the meridian, the body lies in the northwest quadrant, resulting in a true azimuth of 290.4T.