In the right triangle shown

Answer:
BC = 6
Step-by-step explanation:
Using the sine ratio in the right triangle and exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 12 ( divide both sides by 2 )
x = 6
That is BC = 6