To solve for \( x \) in the equation:
\[ \sin(63) = \frac{x}{18} \]
we can rearrange the equation to isolate \( x \):
\[ x = 18 \cdot \sin(63) \]
Next, we calculate \( \sin(63^\circ) \). Using a calculator:
\[ \sin(63^\circ) \approx 0.8910 \]
Now we can substitute this value back into the equation:
\[ x = 18 \cdot 0.8910 \approx 16.038 \]
Rounding this to two decimal places:
\[ x \approx 16.04 \]
Thus, the final answer is:
\[ \boxed{16.04} \]
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