Peter and Juan went to Pampanga to go bird watching. After observing some time, they were surprised to see a Philippine Eagle in the horizon. Using binoculars, Peter observed the eagle and estimated that it is flying at a rate of 10 km/min and its elevation is approximately 7km.   If the horizontal distance between Peter and the eagle is 24 km, at what rate is the angle of the binoculars changing? If the eagle is directly above Peter, what is the rate the angle of the binoculars is changing?

Calculus: Early Transcendentals
8th Edition
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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Peter and Juan went to Pampanga to go bird watching. After observing some time, they were surprised to see a Philippine Eagle in the horizon. Using binoculars, Peter observed the eagle and estimated that it is flying at a rate of 10 km/min and its elevation is approximately 7km.  

If the horizontal distance between Peter and the eagle is 24 km, at what rate is the angle of the binoculars changing?

If the eagle is directly above Peter, what is the rate the angle of the binoculars is changing? 

 

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