Answer:
x = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
note the exact value of tan60° = [tex]\sqrt{3}[/tex]
Since the triangle is right use the tangent ratio to find x
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{6} }{x}[/tex]
multiply both sides by x
x × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{6}[/tex]
divide both sides by [tex]\sqrt{3}[/tex]
x = [tex]\frac{4\sqrt{6} }{\sqrt{3} }[/tex]= 4 × [tex]\sqrt{\frac{6}{3} }[/tex] = 4[tex]\sqrt{2}[/tex]
