I'm really having trouble with bearing problems. Can someone please help me solve them? I just don't know how and when to use Cosine and Sine Law. This is the first time I encountered them.
1.) A plane flew 50km on a bearing 63°20', and then flew on a bearing of 153°20' for 140km. Find the distance between the starting point and the ending point.
2.) A boat left the port on a course of 230°20' for 1.5hour at 210mph and then at 140°20' Edit*-(for 2 hr at 180mph)-. How far is the boat from the port? In what direction must it travel to return to the port?
3.) City A and City B are located on a north-south line and 34.6 miles apart. An observer on the east of that line finds that the directions of A and B are N27°10'W and S62°50'W, respectively. How far is he from each city?
4.) At a certain time, a lighthouse is south of a ship. Thirty minutes later, the ship bears N40°20'E from the lighthouse. If the ship is sailing east at 20kph, find the distance of the ship from the lighthouse at each time of observations.
5.) A ship leaves its home port and sails on a bearing of N38°15'E at 24mph. At the same instant. another ship on the same port on a bearing of S51°45'E at 28mph. Find the distance between the 2 ships after 4 hrs.
6.) A surveyor describes a tract of land by saying : starting at a concrete stake, thence N37°20'E for 120km, thence S52°40'E until due east of the starting point, thence to the starting point. Find the perimeter of the tract.
Any help would be greatly appreciated.