An airplane flies at an altitude of y-5 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates (in radians per mour) at which the angle of elevation is changing when the angle is 0-30, 0-60°, and 0-75°.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An airplane flies at an altitude of y 5 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates (in radians per
hour) at which the angle of elevation is changing when the angle is 0-30°, 60°, and 0 = 75°
(ə) @ = 30°
(b) = 60°
rad/hr
Not
rad/hr
(c)-75 (Round your answer to two decimal places.)
rad/hr
Transcribed Image Text:An airplane flies at an altitude of y 5 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates (in radians per hour) at which the angle of elevation is changing when the angle is 0-30°, 60°, and 0 = 75° (ə) @ = 30° (b) = 60° rad/hr Not rad/hr (c)-75 (Round your answer to two decimal places.) rad/hr
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