X 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 where x is the height of the rocket. X 1 0 = tan 2000) Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4358 feet apart. 0' = radians per foot. Round to five decimal places. 0

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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X
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
where is the height of the rocket.
1
0 = tan
(2000
Find the rate of change of the angle of elevation after launch when the
camera and the rocket are 4358 feet apart.
0'
radians per foot. Round to five decimal
=
places.
0
Transcribed Image Text:X 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 where is the height of the rocket. 1 0 = tan (2000 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4358 feet apart. 0' radians per foot. Round to five decimal = places. 0
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