4 A cruise ship \(C\) is sailing due north at a constant speed of \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). A boat \(B\), initially 2000 m due west of \(C\), sails with constant speed \(11 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) on a straight line course which takes it as close as possible to \(C\).
- Find the bearing of the direction in which \(B\) sails.
- Find the shortest distance between \(B\) and \(C\) in the subsequent motion.