X 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. 0' = X 2000 0 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet apart. 3041.95 x radians per foot. Round to five decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
-1
tan
where x is the height of the rocket.
X
0' =
=
X
2000
2000
Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet
apart.
0
3041.95
x radians per foot. Round to five decimal places.
Transcribed Image Text:0 - 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 -1 tan where x is the height of the rocket. X 0' = = X 2000 2000 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet apart. 0 3041.95 x radians per foot. Round to five decimal places.
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