A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing on the ground 300 meters from where the balloon was re- leased. (a) How fast is the distance between the the observer and the balloon changing when the balloon is 300 meters high? (b) How fast is the angle of elevation from the observer's perspective changing at the instant the balloon is 300 meters high?

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
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A weather balloon is rising vertically at the rate of 5 meters per second.
An observer is standing on the ground 300 meters from where the balloon was re-
leased.
(a) How fast is the distance between the the observer and the balloon changing when
the balloon is 300 meters high?
(b) How fast is the angle of elevation from the observer's perspective changing at the
instant the balloon is 300 meters high?
Transcribed Image Text:A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing on the ground 300 meters from where the balloon was re- leased. (a) How fast is the distance between the the observer and the balloon changing when the balloon is 300 meters high? (b) How fast is the angle of elevation from the observer's perspective changing at the instant the balloon is 300 meters high?
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