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 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 3785 feet apart. A' = radians per foot. Round to five decimal places.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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
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 3785
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 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 3785 feet apart. A' = radians per foot. Round to five decimal places.
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