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 (200. 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 3280 feet apart. 0' = radians per foot. Round to five decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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
(200.
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 3280
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 (200. 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 3280 feet apart. 0' = radians per foot. Round to five decimal places.
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