To solve for \( x \) in the equation
\[ \sin(63) = \frac{x}{18} \]
we first multiply both sides by 18 to isolate \( x \):
\[ x = 18 \sin(63) \]
Next, we calculate \( \sin(63) \). Since 63 degrees is not a standard angle, we can use a calculator to find its sine value.
\[ \sin(63) \approx 0.8910 \]
Now we can substitute this value back into the equation:
\[ x \approx 18 \times 0.8910 \approx 16.038 \]
Finally, rounding to two decimal places, we get:
\[ x \approx 16.04 \]
Thus, the solution is
\[ \boxed{16.04} \]
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