An air traffic controller is monitoring two small planes flying at the same altitude. One is flying towards the control tower from the West at 120 miles per hour and is currently 5 miles away from the tower. The other plane is now on top of the tower and flying South at 150 miles per hour. In order to respect local safety rules the planes have to be always more than 4 miles from each other, or fly at different altitudes. Should the controller order one of the planes to change altitude, or will they always be farther than 4 miles from each other?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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 An air traffic controller is monitoring two small planes flying at the same altitude. One is
flying towards the control tower from the West at 120 miles per hour and is currently 5 miles
away from the tower. The other plane is now on top of the tower and flying South at 150
miles per hour. In order to respect local safety rules the planes have to be always more than
4 miles from each other, or fly at different altitudes. Should the controller order one of the
planes to change altitude, or will they always be farther than 4 miles from each other? 

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