Answer:
(C) [tex]5{\sqrt{3}[/tex]
Step-by-step explanation:
From the given figure, we have
AB=x, AC=10 and ∠C=60°
Using trigonometry, we get
[tex]{\frac{AB}{AC}}=sinC[/tex]
Substituting the given values, we get
⇒[tex]{\frac{x}{10}}=sin60^{\circ}[/tex]
⇒[tex]{\frac{x}{10}}={\frac{\sqrt{3}}{2}}[/tex]
⇒[tex]x=10{\times}\frac{\sqrt{3}}{2}[/tex]
⇒[tex]x=5\sqrt{3}[/tex]
Therefore, the value of x is [tex]5{\sqrt{3}[/tex] units.
