Answer:
The correct option is: C. [tex]x=6\sqrt{3}, y=12[/tex]
Step-by-step explanation:
The two angles of the triangle are given as 60° and 60°
As the sum of all three angle in any triangle is always 180°, so the measure of the third angle will be: 180°-(60°+60°) = 180° - 120° = 60°
Now each angle of the triangle is 60°, it means the triangle is equilateral.
The base of the triangle is given as 12. So, the length of each side will be 12.
That means, the value of [tex]y=12[/tex]
Now in the left right triangle.....
[tex]Sin(60)=\frac{x}{y} \\ \\ \frac{\sqrt{3}} {2}=\frac{x}{12} \\ \\ 2x=12\sqrt{3} \\ \\ x=6\sqrt{3}[/tex]
So, the value of [tex]x = 6\sqrt{3}[/tex]
