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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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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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