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| PAGE: 381 | SET: Exercises | PROBLEM: 98 |
(a)
Write 
as a function of 
.
If the altitude is 
.
Observe the figure:
.
.
(b)
The speed of plane is 
.
.
Find 
.
Apply derivative on each side with respect to 
.
Derivative of inverse trigonometric functions: 
.
.
Find the value of when 
:
Substitute and in 
.
.
.
Find the value of when 
:
Substitute 
and in .
.
If the altitude of the plane were changed to , the rate of change of 
would be slower while the plane was further away from the man but then faster as it got closer.
(a) 
.
(b) When 
, 
; when 
, 
.
If the altitude of the plane were changed to , the rate of change of would be slower while the plane was further away from the man but then faster as it got closer.
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