Question

2. (a) Two radar stations, at points A and B, are tracking a certain ship. Station B is located 6 km east of station A. At a certain instant, the ship is 5 km from A and also 5 km from B. Suppose the ship is to the north of A and B. Draw a sketch and find out where the ship is located. (b) At the same instant, station A reads that the distance between station A and the ship is increasing at the rate of 28 km/h. Station B reads that the distance between station B and the ship is increasing at 4 km/h. How fast and in what direction is the ship moving?

Fig: 1

Fig: 2