Answer:
a = [tex]\frac{12}{\sqrt{3} }[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
a × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by [tex]\sqrt{3}[/tex] )
a = [tex]\frac{12}{\sqrt{3} }[/tex]
