The correct answer is A. NE quadrant.
A closed traverse is a series of connected lines that form a closed loop. The latitudes and departures of a closed traverse are the distances north or south, and east or west, of the traverse from a reference point. The sum of the latitudes and departures of a closed traverse must be zero.
If the sum of the
north latitudes is more than the sum of the south latitudes, then the traverse has a net northerly trend. If the sum of the west departures is more than the sum of the east departures, then the traverse has a net westerly trend.The bearing of the closing line is the direction of the line that connects the beginning and end of
the traverse. The bearing of the closing line can be found by using the following formula:Bearing of closing line = atan2(sum of departures, sum of latitudes)
where atan2 is the arctangent function.
In this case, the sum of the latitudes is more than the sum of the south latitudes, and the sum of the west departures is more than the sum of the east departures. Therefore, the bearing of the closing line must be in the NE quadrant.