LP=248 km. Bearing of L from P is 201°, bearing of M from P is 127°. Angle PML=42°.

(a) Use the sine rule to find LM. [4]

A ship sails directly L to P.

(b(i)) Find the shortest distance from M to LP. [3]

(b(ii)) It leaves L at 20:45 at 40 km/h. Find its arrival time next day. [3]