To solve any orientation problem, we must imagine the standard compass rose.
North points directly toward the top of the map.
South points directly toward the bottom of the map.
East points to the right side.
West points to the left side.
Between North and East lies North-East, which is at a 45-degree angle from both main directions.
Between South and East lies South-East, also positioned at a 45-degree angle.
Analyzing the Starting Position
The problem states that a man faces North-East initially.
North-East sits halfway between North (0 degrees) and East (90 degrees).
This means his starting direction is positioned exactly at 45 degrees clockwise from North.
Executing the Turn
Next, the man turns 45 degrees in a clockwise direction.
Clockwise motion means moving in the same direction as the hands of a clock.
Moving clockwise turns a person toward the right side of the compass.
Adding a 45-degree turn to his initial 45-degree position moves him further right.
His total angle from North becomes 45 degrees plus 45 degrees, which equals 90 degrees.
Finding the Final Answer
A position of 90 degrees clockwise from North points directly to the right.
Looking at the compass layout, the direction pointing directly right is East.
Therefore, the man’s new facing direction is East.
Looking at the provided choices:
A. East
B. South
C. South-East
D. North
The correct answer is A. East.