(a)[4]
Apply the sine rule to calculate $LM$.
(b(i))[3]
Calculate the shortest distance from $M$ to $LP$.
(b(ii))[3]
Calculate the time on the following day when the ship arrives at $P$.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
The sketch features the two ports $L$ and $P$ together with a buoy, $M$. From $P$, the bearing to $L$ is $201^\circ$ and $LP = 248$ km. From $P$, the bearing to $M$ is $127^\circ$. Angle $PML = 42^\circ$.