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 elevat of the camera can be found by 0 = tan - 1 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 5160 feet apart. 0' radians per foot. Round to five decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section: Chapter Questions
Problem 47CT
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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
1
|
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 5160 feet apart.
0' =
radians
foot. Round to five decimal places.
per
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 1 | 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 5160 feet apart. 0' = radians foot. Round to five decimal places. per
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