A hot air balloon rising vertically is tracked by an observer located 4 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 0.1 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 the angle between the line-of-sight and the horizontal (in radians). (Use decimal notation. Give your answer to two decimal places.) km/min 22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A hot air balloon rising vertically is tracked by an observer located 4 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 0.1 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 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
22
Transcribed Image Text:A hot air balloon rising vertically is tracked by an observer located 4 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 0.1 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 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 22
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