A man is facing south-west. He turns 90° in the clockwise direction and then 135° in the anticlockwise direction. Which direction is he facing now?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → South
The eight directions are 45° apart, so a turn of 90° moves two directions round the compass and a turn of 135° moves three. Each turn starts from the direction he is facing at that moment:
Facing South-West, 90° clockwise (South-West → West → North-West): he faces North-West
Facing North-West, 135° anticlockwise (North-West → West → South-West → South): he faces South
Shortcut: The net turn is \(135-90=45\)° anticlockwise, and 45° anticlockwise from South-West is South.