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A plane is flying at a constant altitude at a speed of 600 mph.An anti-aircraft missile is fired and flies at a speed of 1200

A plane is flying at a constant altitude at a speed of 600 mph.An anti-aircraft missile is fired and flies at a speed of 1200 mph.The missile and plane approach the same point (call it "P"); the angle between the paths of the plane and missile is 120.Determine how fast the distance between the plane and the missile is changing when the plane is 100 miles from P and the missile is 150 miles from P.Show all work, including a labeled diagram.(Note: The triangle formed by the paths of the plane and missile and the distance between them is NOT a right triangle.)

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