15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from the take-off point. At the moment that the balloon reaches a height of 60 feet: (a) How fast (in radians/sec) is the angle of elevation from the observation area to the balloon changing? (b) How fast is the distance between the observation area and the balloon changing?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from the take-off point. At the
moment that the balloon reaches a height of 60 feet:
(a) How fast (in radians/sec) is the angle of elevation from the observation area to the balloon changing?
(b) How fast is the distance between the observation area and the balloon changing?
Transcribed Image Text:15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from the take-off point. At the moment that the balloon reaches a height of 60 feet: (a) How fast (in radians/sec) is the angle of elevation from the observation area to the balloon changing? (b) How fast is the distance between the observation area and the balloon changing?
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