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 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 5167 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
'(2000
-1
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 5167
feet apart.
O'
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 '(2000 -1 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 5167 feet apart. O' radians per foot. Round to five decimal places.
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