Solution
From the triangle,
PQ$$^2$$ + QR$$^2$$ = PR$$^2$$
$$\Rightarrow$$ 8$$^2$$ + QR$$^2$$ = 17$$^2$$
$$\Rightarrow$$ 64 + QR$$^2$$ = 289
$$\Rightarrow$$ QR$$^2$$ = 225
$$\Rightarrow$$ QR = 15 cm
$$\therefore\ $$ $$\cot\theta\ =\frac{\text{Adjacent side}}{\text{Opposite side}}=\frac{QR}{PQ}=\frac{15}{8}$$
Hence, the correct answer is Option C
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