College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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X
0'
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(2000) where a is the height of the rocket.
=
0
Find the rate of change of the angle of elevation after launch when the camera and the rocket are
5313 feet apart.
radians per foot. Round to five decimal places.
Transcribed Image Text:X 0' 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(2000) where a is the height of the rocket. = 0 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5313 feet apart. radians per foot. Round to five decimal places.
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