An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a position from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of , at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower? 4000 ft The distance is increasing at a rate of ft/sec.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Question
An airplane is flying overhead at a
constant elevation of . A man is viewing
the plane from a position from the base
of a radio tower. The airplane is flying
horizontally away from the man. If the
plane is flying at the rate of , at what rate
is the distance between the man and the
plane increasing when the plane passes
over the radio tower?
4000 ft
X
The distance is increasing at a rate of
ft/sec.
Transcribed Image Text:An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a position from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of , at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower? 4000 ft X The distance is increasing at a rate of ft/sec.
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