WAEC Mathematics 2013 Paper

Concept:Equal bearings indicate that the points $X$, $Y$, and $Z$ lie on the same straight line.Explanation:The bearing of $Y$ from $X$ is $060^\circ$.So $\overrightarrow{XY}$ makes an angle of $060^\circ$ with the north direction.The bearing of $Z$ from $Y$ is also $060^\circ$.So $\overrightarrow{YZ}$ makes the same angle of $060^\circ$ with north.Since both directions are identical, $X$, $Y$, and $Z$ are collinear.To find the bearing of $X$ from $Z$, we reverse the direction from $Z$ to $X$.The reverse direction is obtained by adding $180^\circ$ to the original bearing:$$060^\circ + 180^\circ = 240^\circ$$Answer:$240^\circ$Option B.