Review question

# How far are these two ships from the shore? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6049

## Suggestion

Two ships $P$ and $Q$ are simultaneously observed from two points $X$ and $Y$ on a straight coastline running from west to east. $P$ is due north of $X$ and lies on a bearing of $300^\circ$ from $Y$. $Q$ is on a bearing of $040^\circ$ from $X$ and on a bearing of $010^\circ$ from $Y$. If the distance between $X$ and $Y$ is $4$ miles, calculate the distance of the two ships from the shore.

A bearing of $x^\circ$ means that the given direction is obtained by turning through $x^\circ$ from north in a clockwise direction.

Could we draw a diagram, with all the given angles marked in?

Can we spot any triangles in our diagram that might be useful?