Answer:
[tex]9\sqrt{3}[/tex]
Step-by-step explanation:
The right triangle on the right is a special right triangle: a 30-60-90 triangle
30-60-90 corresponds with the angle measures on the triangle
the sides on a 30-60-90 relate to the angle opposite of it
30 ⇒x 60 ⇒ x[tex]\sqrt{3}[/tex] 90 ⇒ 2x
27 is opposite to the 60° angle
[tex]\frac{x\sqrt{3}} {\sqrt{3}} =x[/tex] [tex]\frac{27}{\sqrt{3}}[/tex] simplify [tex]\frac{27}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] [tex]\frac{27\sqrt{3} }{3}[/tex] = [tex]9\sqrt{3}[/tex]
