A hot air balloon rising vertically is tracked by an observer located 6 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 0.4 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
A hot air balloon rising vertically is tracked by an observer located 6 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 0.4 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
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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