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 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 5947 feet apart. 0' = radians per foot. Round to five decimal places.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
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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
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 5947 feet apart.
0' =
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 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 5947 feet apart. 0' = radians per foot. Round to five decimal places.
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