Question: A B V X 6-X Two radar stations A and B, with B 6 km east of A, are tracking a ship. At a certain

 A B V X 6-X Two radar stations A and B,with B 6 km east of A, are tracking a ship. At

A B V X 6-X Two radar stations A and B, with B 6 km east of A, are tracking a ship. At a certain instant, the ship is 5 km from A, and this distance is increasing at a rate of 28 km/h. At the same instant, the ship is also 5 km from B, but this distance is increasing at only 4 km/h. (a) [2] Using the Pythagorean Theorem find two relationships relating x and y.(b) [2] Using the given data and your expressions, determine the location of the ship. Express your answer in km north and km east from radar station A. (c) [2] Find two expression relating dx dt and dy by dt differentiating your expressions in (a). (d) [2] Using the given data solve for dx dt and dy to determine dt how fast and in what direction is the ship moving

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