There are 360 degrees in a circle.
Heading or Course (same thing) is the direction you are travelling in:
North is always 0 degrees
As you rotate clockwise the number representing the heading increases so,
East is always 90 degrees
South is always 180 degrees
West is always 270 degrees
When you get all the way around the circle to 360 degrees, you are back facing North again. So 0 degrees and 360 degrees BOTH refer to NORTH.
NOTE: The game usually only refers to heading, when you click a new heading on the compass.
Bearing is where something is, relative to the front of your submarine:
Bearing is the numbers you see through the periscope and binoculars and on that big overlay that you see when you zoom way in on the F5 Navigation Map.
Bearing is also what the game is usually referring to, when it tells you about contacts.
The front of your sub is always 0 degrees
As you rotate around your bridge clockwise, the number representing the bearing increases so,
Directly to your right is always 90 degrees
Directly behind you is always 180 degrees
Directly to your left is always 270 degrees
Example: This is why, in your example, when your crew said a contact was at a bearing of 153, the contact line drawn was behind you and to the right. Because 153 is between 90(directly to your right) and 180(directly behind you).
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