Answer:
[tex]\boxed{12}[/tex]
Step-by-step explanation:
A = 30° and r = 12
[tex]\sin A = \frac{r}{r + x}[/tex]
[tex]\sin 30 = \frac{12}{12 + x}[/tex]
[tex]\frac{1}{2} = \frac{12}{12 + x}[/tex]
[tex]1(12 + x) = 2(12)[/tex]
[tex]12 + x = 24[/tex]
[tex]x = 24 - 12[/tex]
[tex]x = 12[/tex]
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Happy to help :)
