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' 0 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5962 feet apart. Question Help: Video Submit Question 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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Question 9
@
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
= tan
where is the height of the rocket.
x
2000
0' =
Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5962 feet
apart.
2000
Question Help: Video
Submit Question
3
$
radians per foot. Round to five decimal places.
%
&
(
Transcribed Image Text:Question 9 @ 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 = tan where is the height of the rocket. x 2000 0' = Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5962 feet apart. 2000 Question Help: Video Submit Question 3 $ radians per foot. Round to five decimal places. % & (
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