WAEC Mathematics 2014 Paper

Concept:The final displacement has equal east and north components, so its bearing lies exactly halfway between North and East.Explanation:The ship starts at $O$, sails $x$ km due east to $E$, and then $x$ km due north to $F$.Thus, the final position $F$ is $x$ km east and $x$ km north of the starting point.This forms an isosceles right triangle, so the angle from the north direction is $45^\circ$.Bearings are measured clockwise from North, giving $045^\circ$.Answer:$045^\circ$ — Option A.