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Let's rewrite the information given:
[tex]\begin{gathered} sin24^{\circ}=\frac{12.1}{x} \\ \text{Cross multiply, we have:} \\ x\cdot sin24^{\circ}=12.1 \\ x=\frac{12.1}{sin24^{\circ}}=29.7489\approx29.75 \\ x=29.75 \end{gathered}[/tex]Hence, the answer is x = 29.75