Lost at Sea - Longtitute

Geometry 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.


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