In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?

Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
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