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Not drawn to scale 100 200 400 Distance (in miles) Figure for 25 Figure for 26 26. Air Traffic Control An airplane is flying at an altitude of 5 miles and passes directly over a radar antenna (see figure). When the plane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 240 miles per hour. What is the speed of the plane? %3D

Not drawn to scale 100 200 400 Distance (in miles) Figure for 25 Figure for 26 26. Air Traffic Control An airplane is flying at an altitude of 5 miles and passes directly over a radar antenna (see figure). When the plane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 240 miles per hour. What is the speed of the plane? %3D

Calculus: Early Transcendentals
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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Question
Number 26
**Air Traffic Control Problem** An airplane is flying at an altitude of 5 miles and passes directly over a radar antenna. When the plane is 10 miles away (\(s = 10\)), the radar detects that the distance \(s\) is changing at a rate of 240 miles per hour. What is the speed of the plane? **Diagram Explanation** - The diagram probably shows a right triangle to represent the situation with the plane's altitude as one leg (5 miles), the horizontal distance as another leg, and the hypotenuse as the line of sight distance (\(s\)) from the radar to the plane. - Additional visual elements, such as arrows, might indicate direction or distance changes. The goal is to calculate the speed of the airplane using the given rate of change of distance.
Transcribed Image Text:**Air Traffic Control Problem** An airplane is flying at an altitude of 5 miles and passes directly over a radar antenna. When the plane is 10 miles away (\(s = 10\)), the radar detects that the distance \(s\) is changing at a rate of 240 miles per hour. What is the speed of the plane? **Diagram Explanation** - The diagram probably shows a right triangle to represent the situation with the plane's altitude as one leg (5 miles), the horizontal distance as another leg, and the hypotenuse as the line of sight distance (\(s\)) from the radar to the plane. - Additional visual elements, such as arrows, might indicate direction or distance changes. The goal is to calculate the speed of the airplane using the given rate of change of distance.
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