I need help with part a. I don't understand how to write the formula. Please explain and show to me step by step on how to do this problem. Thanks.
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To find $\displaystyle d$ you can use pythagorus' theorem. The hypotenuse is $\displaystyle x+r$, and the other side is $\displaystyle r$. Then note that $\displaystyle \theta=tan^{-1}\left ( \frac{d}{r} \right )$.
What about theta in that formula? How would I find out what that is in order to find d?
It's asking for $\displaystyle d$ in terms of $\displaystyle x$ and $\displaystyle r$. You don't need theta for this part of the question: $\displaystyle d=\sqrt{(x+r)^2-r^2}$ You can simplify this formula.
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