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) where x is the height of the 0 = tan rocket. Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4533 feet аpart. 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
where x is the height of the
0 = tan
rocket.
Find the rate of change of the angle of elevation after
launch when the camera and the rocket are 4533 feet
аpart.
radians per
0'
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 where x is the height of the 0 = tan rocket. Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4533 feet аpart. radians per 0' foot. Round to five decimal places.
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