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 400 miles per hour. Find the rates (in radians per hour) at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 75°. y mi Not drawn to scale (a) e = 30° 30 X rad/hr (b) e = 60° rad/hr (c) e = 75° (Round your answer to two decimal places.) rad/hr

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.1: Radian And Degree Measure
Problem 7ECP: The circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute....
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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 400 miles per hour.
Find the rates (in radians per hour) at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 75°.
y mi
Not drawn to scale
(a)
e = 30°
30
X rad/hr
(b)
e = 60°
rad/hr
(c)
e = 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 400 miles per hour. Find the rates (in radians per hour) at which the angle of elevation 0 is changing when the angle is 0 = 30°, 0 = 60°, and 0 = 75°. y mi Not drawn to scale (a) e = 30° 30 X rad/hr (b) e = 60° rad/hr (c) e = 75° (Round your answer to two decimal places.) rad/hr
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