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An airplane is tlying at an altitude of 6 miles and passes directly over a radar antenna (based on same figure used in class, and also found in the textbook). When the plane is 10 miles away, the radar detects the distance s is changing at a rate of 520 mph. How fast is the plane actually travelling at that point in time? (Find dx/dt.) QUESTION 4 10 points Save Answer Related rates (angle and trigonometry) Observers of rocket An observer is watching the launching of a rocket at a location 200 ft form the base of the rocket. The angle e. (th), for the observer represents the angle of elevation from the ground level to the height of the rocket. a) Write an equation relating the variable h, the height of the rocket to this angle of elevation 0. b) Take the derivative and apply the methods from related rates to find the rate of change of the angel of elevation, de/ dt in terms of the speed of the rocket dh/dt. c) Evaluate this rate of change de/ dt,if the rocket is at a height of h = 200 ft and moving at a rate of dh/dt = 450 mph Also evaluate when the height is h = 1000 and the speed is dh/dt = 650 mph An airplane is tlying at an altitude of 6 miles and passes directly over a radar antenna (based on same figure used in class, and also found in the textbook). When the plane is 10 miles away, the radar detects the distance s is changing at a rate of 520 mph. How fast is the plane actually travelling at that point in time? (Find dx/dt.) QUESTION 4 10 points Save Answer Related rates (angle and trigonometry) Observers of rocket An observer is watching the launching of a rocket at a location 200 ft form the base of the rocket. The angle e. (th), for the observer represents the angle of elevation from the ground level to the height of the rocket. a) Write an equation relating the variable h, the height of the rocket to this angle of elevation 0. b) Take the derivative and apply the methods from related rates to find the rate of change of the angel of elevation, de/ dt in terms of the speed of the rocket dh/dt. c) Evaluate this rate of change de/ dt,if the rocket is at a height of h = 200 ft and moving at a rate of dh/dt = 450 mph Also evaluate when the height is h = 1000 and the speed is dh/dt = 650 mph
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