A man is facing towards the west. He then turns 45° clockwise, again turns 180° clockwise and then turns 270° anti-clockwise. In which direction is he facing now?
A man is facing towards the west. He then turns 45° clockwise, again turns 180° clockwise and then turns 270° anti-clockwise. In which direction is he facing now?
Solution
The man starts facing West.
Using a clockwise rotation system where angles are measured from North:
- North = 0°
- East = 90°
- South = 180°
- West = 270°
Starting position: West = 270°
First turn: 45° clockwise from West
The man is now facing North-West.
Second turn: 180° clockwise from North-West
The man is now facing South-East.
Third turn: 270° anti-clockwise from South-East
Anti-clockwise rotation means subtracting the angle:
Converting to positive angle:
225° corresponds to South-West (halfway between South at 180° and West at 270°).
The man is now facing South-West.
Therefore, the answer is Option 2: South-West.
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