Question

A man is facing west. He turns $45^\circ$ in the clockwise direction and then another $180^\circ$ in the same direction and then $270^\circ$ in the anti-clockwise direction. Which direction is he facing now?

Accepted Answer

D. Initial direction = West. Clockwise turns = $+45^\circ + 180^\circ = +225^\circ$. Anti-clockwise turn = $-270^\circ$. Net turn = $225^\circ - 270^\circ = -45^\circ$ (i.e., $45^\circ$ anti-clockwise). Turning $45^\circ$ anti-clockwise from West points to South-West.

Direction and Turns

Explanation

Practise this under exam conditions