10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. The image shows the relationship of the airplane to the observer at a later time. a.) Find an equation relating x and y. 5000t 390 ce Б000 b.) Find the value of x when y is 6,250. Observer c.) How fast is the distance from the observer to the airplane changing at the time when the airplane is = 390 and y = 6,250? dt dx 6,250 feet from the observer? That is, what is dy at the time when dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. The
image shows the relationship of the airplane to the observer at a
later time.
a.) Find an equation relating x and y.
5000°t 390
5000
b.) Find the value of x when y is 6,250.
Observer
c.) How fast is the distance from the observer to the airplane changing at the time when the airplane is
dy
at the time when
dt
dx
= 390 and y = 6,250?
dt
6,250 feet from the observer? That is, what is
Transcribed Image Text:10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. The image shows the relationship of the airplane to the observer at a later time. a.) Find an equation relating x and y. 5000°t 390 5000 b.) Find the value of x when y is 6,250. Observer c.) How fast is the distance from the observer to the airplane changing at the time when the airplane is dy at the time when dt dx = 390 and y = 6,250? dt 6,250 feet from the observer? That is, what is
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