find the length of x in simplest radical form with a rational denominator

Answer:
Step-by-step explanation:
[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]
From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]
Therefore:
[tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]