WAEC Mathematics 2021 Paper

Concept:Bearing is the angle measured clockwise from North. We need the reverse direction from Q to T.Explanation:The man leaves T, travels $12$ km due west, and then $12$ km due south to reach Q.Thus Q is $12$ km west and $12$ km south of T, placing Q in the south-west direction from T.To find the bearing of T from Q, view the journey in reverse: from Q, T is $12$ km due north and $12$ km due east.This reverse direction is exactly North-East.North-East lies halfway between North ($000^\circ$) and East ($090^\circ$), so its bearing is $45^\circ$ clockwise from North.Therefore the bearing of T from Q is $045^\circ$.Answer:$045^\circ$Option C