I am facing West. I turn 270° in the clockwise direction and then 225° in the anti-clockwise direction. Which direction am I facing now?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → North-west
Directions are measured clockwise from North: North 0°, East 90°, South 180°, West 270°. A clockwise turn adds to this angle and an anticlockwise turn subtracts from it; a full turn of 360° changes nothing.
Start: facing West, 270°
After 270° clockwise: \(270^\circ+270^\circ=540^\circ\), and \(540^\circ-360^\circ=180^\circ\), that is, South
After 225° anticlockwise: \(180^\circ-225^\circ=-45^\circ\), that is, \(360^\circ-45^\circ=315^\circ\), halfway between West and North
So you face North-west.
