An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation ? is changing when the angle is ? = 45°, ? = 60°, and ? = 80°. (a) ? = 45° rad/min (b) ? = 60° rad/min (c) ? = 80° (Round your answer to two decimal places.) rad/min
An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation ? is changing when the angle is ? = 45°, ? = 60°, and ? = 80°. (a) ? = 45° rad/min (b) ? = 60° rad/min (c) ? = 80° (Round your answer to two decimal places.) rad/min
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 47E
Related questions
Question
An airplane flies at an altitude of
y = 4
miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation ? is changing when the angle is
? = 45°,
? = 60°,
and
? = 80°.
(a) ? = 45°
rad/min
(b) ? = 60°
rad/min
(c) ? = 80° (Round your answer to two decimal places.)
rad/min
rad/min
(b) ? = 60°
rad/min
(c) ? = 80° (Round your answer to two decimal places.)
rad/min
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