Complete the following related rates word problem. Include a well-labeled figure and supporting mathematical statements within a grammatically correct exposition. Christine is 200 meters away from the launch pad of a hot air balloon. The hot air balloon rises from the launch pad at a speed of 20 meters per second. How fast is the angle of elevation* of her line of sight to the hot air balloon changing 80 seconds after launch? *The angle of elevation is defined to be the acute angle formed by the ground and the person's line of sight to the object.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
Section3.1: The Geometry Of Lines
Problem 1TU: Suppose that the peak of the roof occurs 20 rather than 14 horizontal feet toward the interior of...
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Complete the following related rates word problem. Include a well-labeled figure and supporting mathematical statements within a grammatically correct exposition.

Christine is 200 meters away from the launch pad of a hot air balloon. The hot air balloon rises from the launch pad at a speed of 20 meters per second. How fast is the angle of elevation* of her line of sight to the hot air balloon changing 80 seconds after launch?

*The angle of elevation is defined to be the acute angle formed by the ground and the person's line of sight to the object.

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