Answer:
see explanation
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8\sqrt{3} }{x}[/tex] → D
and
[tex]\frac{8\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x[tex]\sqrt{3}[/tex] = 16[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 16
