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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

✅ Correct Option: 2

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

270°+45°=315°270° + 45° = 315°

The man is now facing North-West.


Second turn: 180° clockwise from North-West

315°+180°=495°315° + 180° = 495°

495°−360°=135°495° - 360° = 135°

The man is now facing South-East.


Third turn: 270° anti-clockwise from South-East

Anti-clockwise rotation means subtracting the angle:

135°−270°=−135°135° - 270° = -135°

Converting to positive angle:

−135°+360°=225°-135° + 360° = 225°

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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