Question: Find a so that forces C and T are in equilibrium. What is the moment acting about point A ? I keep getting a to

Find a so that forces C and T are in equilibrium. What is the moment acting about point A? I keep getting a to be imaginary. In the answer key the only thing my professor wrote was "excel solver, c=4in", which seems to have nothing to do with the answer as C is a force in the question. Please solve on paper, not excel. Thank you.
Find a so that forces C and T are in equilibrium.

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