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Calculus: I need help with this question please. I know that I have to use Pythagoras Theron for part (b) but I’m stuck on part (c), can someone show me how to work it out please. And also part (b) just to check.

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Show us some work, please.
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tan(θ)=400/x

xtan(θ)=400

xsec^(2)(θ)dθ/dt+tan(θ)(1)dx/dt=0

Solve for dx/dt

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