Answer:
a = 3[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{3\sqrt{2} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 3[tex]\sqrt{2}[/tex] )
a = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{6}[/tex]
