Lost at Sea - LongtituteGeometry Level 4
A traveler is lost with absolutely no idea what his location is. From a vantage point he has a clear unobstructed view both east and west to the distant horizon which are at similar altitudes to his location. He has a watch accurately set to North American Central time zone, GMT - 6 hr. The watch also indicates the correct date
On June 13 he notes the sunrise time at 9:49 am and the sunset time as 11:14 pm according to the time indicated on the watch.
What is the Longitude of his location ? Degrees west.
Assume his vantage point remains stationary for the two sightings.