A woman is facing west. She turns 225° in the clockwise direction and then turns 90° in the counterclockwise direction. Which direction is she facing now?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → North-East
On a compass the eight main directions are 45° apart, so every 45° of turning moves the facing by one point. Each turn is taken from the direction faced at that moment:
Start: facing West
225° clockwise is \(225\div45=5\) points clockwise: West → North-West → North → North-East → East → South-East
90° anticlockwise is 2 points anticlockwise: South-East → East → North-East
Shortcut:
The net turn is \(225^\circ-90^\circ=135^\circ\) clockwise
135° clockwise from West is 3 points: North-West, North, North-East