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 e = tan¯(2000 where a 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 4761 feet apart. radians per foot. Round to five decimal places.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
e = tan¯(2000
where a 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 4761 feet apart.
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 e = tan¯(2000 where a 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 4761 feet apart. radians per foot. Round to five decimal places.
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