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 0 = tan -1 where x is the height of the rocket. 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4692 feet apart. radians per %3D foot. Round to five decimal places.

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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 0 = tan
-1
(2000)
where x 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 4692 feet apart.
radians per foot. Round to five
decimal places.
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 0 = tan -1 (2000) where x 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 4692 feet apart. radians per foot. Round to five decimal places.
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