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December 21, 2014

December 21, 2014

Posted by **Anonymous** on Friday, November 16, 2012 at 1:20pm.

- Calculus -
**Steve**, Friday, November 16, 2012 at 2:51pmif the distance from wall is x,

x^2 + h^2 = 144

x = √(144-h^2)

when h=9, x = √(144-81) = √63

sinθ = h/12

the wording of the question is odd. Usually they ask for the rate of change of x when h=9. In that case,

2x dx/dt + 2h dh/dt = 0

but we don't have dh/dt.

So, it appears they want dh/dθ

h/12 = sinθ

h = 12sinθ

dh/dθ = 12cosθ = 12(x/12) = x = √63

however, rather than asking for "the rate of change of h with respect to θ" you say they want "rate of change of h with respect to the change of θ". Don't know how to interpret that

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