BECE Mathematics 2024 Paper

Concept:The bearing of a point is measured clockwise from north. The reverse bearing differs by $180^\circ$.Explanation:Bearing of $Q$ from $P$ is $120^\circ$.This means $Q$ is located $120^\circ$ clockwise from north when measured at $P$.We have to find the bearing of $P$ from $Q$.The direction from $Q$ back to $P$ is exactly opposite to the direction from $P$ to $Q$.To get the opposite direction, add $180^\circ$ to the given bearing.So, bearing of $P$ from $Q = 120^\circ + 180^\circ$.This gives $300^\circ$.Since $300^\circ$ is within the valid range $0^\circ$ to $360^\circ$, no further correction is needed.Answer:The bearing of $P$ from $Q$ is $300^\circ$.Therefore, option C is correct.