A plane flying horizontally at an altitude of 3.4 miles and at a speed of 790 mi/hr passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the distance between the plane and the station is 6.3 miles. If necessary, round your answer to two decimal places.

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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A plane flying horizontally at an altitude of 3.4
miles and at a speed of 790 mi/hr passes
directly over a radar station. Find the rate at
which the distance from the plane to the
station is increasing when the distance
between the plane and the station is 6.3 miles.
If necessary, round
your answer to two decimal
places.
Variable
Description
Unit
t
Time
hr
Horizontal
distance the
X
plane has
mi
traveled since
time t
Distance
between the
Y
mi
plane and the
ground at time
t
Distance
between the
Z
mi
plane and the
radar station at
time t
dx
Rate at which
x changes with mi/hr
dt
respect to time
Rate at which y
dy
changes with
mi/hr
dt
respect to time
Rate at which z
dz
changes with
mi/hr
dt
respect to time
The rate at which the distance is increasing is
about
mph.
Transcribed Image Text:A plane flying horizontally at an altitude of 3.4 miles and at a speed of 790 mi/hr passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the distance between the plane and the station is 6.3 miles. If necessary, round your answer to two decimal places. Variable Description Unit t Time hr Horizontal distance the X plane has mi traveled since time t Distance between the Y mi plane and the ground at time t Distance between the Z mi plane and the radar station at time t dx Rate at which x changes with mi/hr dt respect to time Rate at which y dy changes with mi/hr dt respect to time Rate at which z dz changes with mi/hr dt respect to time The rate at which the distance is increasing is about mph.
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