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anonymous
 one year ago
pls help me in this problem.
Two sides of a triangle are 5 and 8 units respectively. If the included angle is changing at rate of one radian, at what rate is the third side changing when the included angle is 60 degrees?
anonymous
 one year ago
pls help me in this problem. Two sides of a triangle are 5 and 8 units respectively. If the included angle is changing at rate of one radian, at what rate is the third side changing when the included angle is 60 degrees?

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1remember cosine law ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433221845172:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we have the same drawing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but my answer is x=7

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1say \(x\) = length of third side dw:1433221936411:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer should be 4.9 units here in my answer key. i dont know how to derive

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2 ~~=~~ 5^2 + 8^2  2*5*8\cos(\theta)\] differentiate both sides implicitly with respect to \(t\), what do you get ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02x dx/dt= 80 sin(theta) dtheta/dx

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1do you mean \[2x\frac{dx}{dt} = 80\sin(\theta) \frac{d\theta}{dt}\] ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1plugin the given values

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Yes, plugin \(\frac{d\theta}{dt} = 1\) , \(\theta = 60\) and \(x=7\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok wait i will solve.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get the answer already

anonymous
 one year ago
Best ResponseYou've already chosen the best response.080sin60/14 =4.95 units

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks a lot for the big help

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i am also an engineering student
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