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 -1 0 = tan 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 5069 feet apart. 0' = radians per foot. Round to five decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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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
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 5069 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 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 5069 feet apart. 0': radians per foot. Round to five decimal places.
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