Air traffic controller spots 2 planes at the same altitude converging at a point as they fly at right angles to each other.  One plane is 225 miles from the point, moving at 450 mph. The other plane is 300 miles from the point, moving at 600 mph. a) at what rate is the di

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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Air traffic controller spots 2 planes at the same altitude converging at a point as they fly at right angles to each other.  One plane is 225 miles from the point, moving at 450 mph. The other plane is 300 miles from the point, moving at 600 mph.

a) at what rate is the distance s between the planes decreasing?

b) how much time does the air traffic controller have to get one of the planes on a different flight path?

25. Air Traffic Control An air traffic controller spots two
planes at the same altitude converging on a point as they fly at
right angles to each other (see figure). One plane is 225 miles
from the point, moving at 450 miles per hour. The other plane
is 300 miles from the point, moving at 600 miles
per
hour.
(a) At what rate is the distance s between the planes decreasing?
(b) How much time does the air traffic controller have to get
one of the planes on a different flight path?
400
300
200
100 -
100 200
400
Distance (in miles)
Figure for 25
Fl
Distance (in miles)
Transcribed Image Text:25. Air Traffic Control An air traffic controller spots two planes at the same altitude converging on a point as they fly at right angles to each other (see figure). One plane is 225 miles from the point, moving at 450 miles per hour. The other plane is 300 miles from the point, moving at 600 miles per hour. (a) At what rate is the distance s between the planes decreasing? (b) How much time does the air traffic controller have to get one of the planes on a different flight path? 400 300 200 100 - 100 200 400 Distance (in miles) Figure for 25 Fl Distance (in miles)
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