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Weave
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Homework Statement
This last related rates HW problem is givin me trouble for some odd reason.
A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude of 11 km and climbs at an angle of 25 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 1 minutes later?
Homework Equations
Law of Cosines:
[tex]c^2=a^2+b^2-2abCos(\theta)[/tex]
[tex]a=11km[/tex]
[tex]b=4km[/tex]
[tex]\frac{da}{dt}=0[/tex]
[tex]\frac{db}{dt}=4km/min[/tex]
The Attempt at a Solution
First using the law of cosines I found c at that particular moment.
[tex]c=\sqrt(137-88Cos(23\pi/36))[/tex]
Second I found the derivitive of the law of cosines
Working everything out I get:
[tex]\frac{dc}{dt}=\frac{16-44cos(23\pi/36)+44sin(23\pi/36)}{c}[/tex]
I plug in c and get the wrong answer, what did I do wrong?
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