The diagram gives the positions of three towns, $A$, $B$ and $C$. $B$ lies 24 km due North of $A$. $C$ is 18 km from $A$ and 15 km from $B$.
(a(i))[3]
Using a ruler and compasses only, construct a scale drawing to represent the positions of $B$ and $C$.
(a(ii))[1]
From your scale drawing, find the bearing of $C$ from $A$.
(a(iii))[2]
Town $D$ lies on a bearing of $023^{\circ}$ from town $A$. Work out the bearing of town $A$ from town $D$.
(b)[5]
Using a ruler and compasses only, construct and mark the two possible positions of the ship.
Worked solution & mark scheme
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