posted by John - PLEASE Help! .
After shooting the trailing edge of the Sun on 11 April 2008, the observed clockwise angle from the mark to the edge of the sun is 259 degrees- 44 minutes- 51 seconds, the latitude is 32 degrees- 47 minutes- 54 seconds North, the longitude is 079 degrees-57minutes- 38 seconds, the time is 11 hours- 17 minutes - 30 seconds Daylight Savings time. The LaPlace correction is 3seconds. Determine the geodetic bearing to the mark.
Briefly, you will need access to the Nautical Almanac, published jointly by UK and US yearly. Some free versions are available on the web for past years.
The nautical almanac gives the position of the sun (and many other celestial bodies) in longitude and latitude at any hour of the year.
Most of the time, this, together with the time of the day, is used to calculate the position of the observer. In your case, the observer's position is known, so is that of the sun. So you can calculate the observed bearing of the sun using spherical trigonometry, and hence that of the mark.