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' Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet apart. = 2000 X 2000 .98509 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
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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
where x is the height of the rocket.
= tan
0' =
2000
X
2000
.98509
0
Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet
apart.
x radians per foot. Round to five decimal places.
Transcribed Image Text:0 X 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 where x is the height of the rocket. = tan 0' = 2000 X 2000 .98509 0 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 3618 feet apart. x radians per foot. Round to five decimal places.
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