Problem involving Bearing
Problem involving Bearing
Secondary 3
Two ships \(A\) and \(B\) leave a port \(P\) at \(0915\) hour.
Ship \(A\) sails on a bearing of \(120{}^\circ\) at \(25\) km/h for an hour and stops at \(X\).
Ship \(B\) sails on a bearing of \(160{}^\circ\) at \(40\) km/h for an hour and stops at \(Y\).
- After an hour, find the
- distance between ships \(A\) and \(B\).
- bearing of ship \(A\) from ship \(B\).
- Find how far is ship \(B\) due east of port \(P\).
- If ship \(B\) anchored at point \(Y\) after an hour whereas ship \(A\) continues its sail, find the shortest distance between ship \(A\) and ship \(B\).
- If ships \(A\) and \(B\), after an hour, then travel towards each other with their speeds unchanged, when will they meet?
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Answer:(a)(i) \(26.3\text{ km}\text{ (3 s.f.)}\) (ii) \(017.6^\circ\text{ (1 d.p.)}\) (iii) \(13.7\text{ km}\text{ (3 s.f.)}\) (b) \(25.7\text{ km}\text{ (3 s.f.)}\) (c) \(1039\text{ hours}\)
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