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An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see figure). The speed of the plane is 400 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 80°. mi Not drawn to scale

An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see figure). The speed of the plane is 400 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 80°. mi Not drawn to scale

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 37CT
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An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see figure). The speed of the plane is 400 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 80°. y mi Not drawn to scale (a) e = 30° 50 X 5/6 rad/min (b) 0 = 60° 150 X A 5/2 rad/min
Transcribed Image Text:An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see figure). The speed of the plane is 400 miles per hour. Find the rates at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 80°. y mi Not drawn to scale (a) e = 30° 50 X 5/6 rad/min (b) 0 = 60° 150 X A 5/2 rad/min
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