Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speed of 360 miles per hour. Exercise (a) At what rate is the distance between the planes changing? Step 1 Lets denote the distance in miles as shown in the following figure. The origin represents the point of convergence. 140 120 100 80 $ 60 y 40 20 X 20 40 60 80 100 The distances between the planes given by the formula, s=√x2 + y2. Thus, s² = x² + y² One plane is 90 miles away and moving towards the point of convergence at 270 miles per hour so x = 90 and The other plane is 120 miles away and moving towards the point of convergence at 360 miles per hour, so y = 120 and= [ X

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speed of 360 miles per hour. Exercise (a) At what rate is the distance between the planes changing? Step 1 Lets denote the distance in miles as shown in the following figure. The origin represents the point of convergence. 140 120 100 80 $ 60 y 40 20 X 20 40 60 80 100 The distances between the planes given by the formula, s=√x2 + y2. Thus, s² = x² + y² One plane is 90 miles away and moving towards the point of convergence at 270 miles per hour so x = 90 and The other plane is 120 miles away and moving towards the point of convergence at 360 miles per hour, so y = 120 and= [ X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speed of 360 miles per hour. Exercise (a) At what rate is the distance between the planes changing? Step 1 Lets denote the distance in miles as shown in the following figure. The origin represents the point of convergence. y 140- 120k 80 60 y 40 20 X 20 40 60 80 100 The distances between the planes is given by the formula, s = √√√x² + y2, Thus, s² = x² + y². One plane is 90 miles away and moving towards the point of convergence at 270 miles per hour so x = 90 and dx = The other plane is 120 miles away and moving towards the point of convergence at 360 miles per hour, so y = 120 and 100 X
Transcribed Image Text:An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 90 miles from the point and has a speed of 270 miles per hour. The other is 120 miles from the point and has a speed of 360 miles per hour. Exercise (a) At what rate is the distance between the planes changing? Step 1 Lets denote the distance in miles as shown in the following figure. The origin represents the point of convergence. y 140- 120k 80 60 y 40 20 X 20 40 60 80 100 The distances between the planes is given by the formula, s = √√√x² + y2, Thus, s² = x² + y². One plane is 90 miles away and moving towards the point of convergence at 270 miles per hour so x = 90 and dx = The other plane is 120 miles away and moving towards the point of convergence at 360 miles per hour, so y = 120 and 100 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS