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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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