2000 A television camera at ground levell is 2000 feet away from the launching pad of a space rocket that is set to take off vertically,as seen the following figure. The angle of elevation of the camera can be found by 0 = tan where is the height of the rocket. 2000 Find the rate of change of the angle of elevation after launch when the camera and the rocket are 45a feet apart. 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
Section6.1: Angles
Problem 50E
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2000
A television camera at ground levell 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 b
2000
where I is the height of the rocket.
0 = tan
Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4849
feet apart.
radians per foot. Round to five decimal places.
Transcribed Image Text:2000 A television camera at ground levell 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 b 2000 where I is the height of the rocket. 0 = tan Find the rate of change of the angle of elevation after launch when the camera and the rocket are 4849 feet apart. radians per foot. Round to five decimal places.
Expert Solution
Step 1

Given:

The angle of elevation is given by θ=tan-1x2000.

The objective is to find the rate of change of the angle of elevation after when the camera and the rocket are 4849 feet apart.

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