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 4953 feet apart. O': radians per 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-1G
2000)
where z 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
4953 feet apart.
A' =
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-1G 2000) where z 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 4953 feet apart. A' = radians per foot. Round to five decimal places.
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