A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point. At a certain moment, the angle between the observer's line of sight and the horizontal is , and it is changing at a rate of 0.5 rad/min. How fast is the balloon rising at this moment? Let y be the height of the balloon (in km), t be time (in minutes), and 0 the angle between the line-of-sight and the horizontal (in radians). (Use decimal notation. Give your answer to two decimal places.) km/min dt

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point. At a certain moment, the angle
between the observer's line of sight and the horizontal is , and it is changing at a rate of 0.5 rad/min. How fast is the balloon
rising at this moment?
Let y be the height of the balloon (in km), t be time (in minutes), and 0 the angle between the line-of-sight and the horizontal (in
radians).
(Use decimal notation. Give your answer to two decimal places.)
dy
km/min
dt
Transcribed Image Text:A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point. At a certain moment, the angle between the observer's line of sight and the horizontal is , and it is changing at a rate of 0.5 rad/min. How fast is the balloon rising at this moment? Let y be the height of the balloon (in km), t be time (in minutes), and 0 the angle between the line-of-sight and the horizontal (in radians). (Use decimal notation. Give your answer to two decimal places.) dy km/min dt
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