2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by e = tan¯(2000 where a is the height of the rocket. Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4761 feet apart. radians per foot. Round to five decimal places.

Question
2000
A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take
off vertically, as seen in the following figure. The angle of elevation of the camera can be found by
e = tan¯(2000
where a is the height of the rocket.
Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4761 feet apart.
radians per foot. Round to five decimal places.
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Calculus

Applications of Derivative

Transcribed Image Text

2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the camera can be found by e = tan¯(2000 where a is the height of the rocket. Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4761 feet apart. radians per foot. Round to five decimal places.