calculate the longitude of the position of a ship whose navigation office obwerve that Greenwich mean time is 1416 hours when the local time is noon

34 degree West

Explanation:

Given

Greenwich Mean Time (GMT) = 14:16 hours

Local Time = Noon = 12:00 hours

Required

Calculate The Longitude of the Ship's position

We start by calculating the time difference;

Time Difference= GMT - Local Time

Time Difference = 14:16 hours - 12:00 hours

Time Difference = 02:16 hours

Convert time difference to minutes

Time Difference = 02:16 hours

Time Difference = 02 hours + 16 minutes

Time Difference = 02 * 60 minutes + 16 minutes

Time Difference = 120 minutes + 16 minutes

Time Difference = 136 minutes

Convert Minutes to degrees

In GMT, 4 minutes it will rotate 1 degrees

So, 136 minutes = 136 degrees / 4

136 minutes = 34 degrees

Hence, the ship is 34 degree West