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Given \(\frac{dx}{dt} = 1\), \(x = 6\), so \(y = \sqrt{100 - 36} = 8\).
\(12(1) + 16 \frac{dy}{dt} = 0 \implies \frac{dy}{dt} = -\frac{12}{16} = -\frac{3}{4}\) ft/s.
#### \(-\frac{3}{4}\)

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