Answer:
C= [tex]\frac{\sqrt{3} }{2}[/tex]
This is because it is a right triangle defined by its angles. It is a right triangle due to its 90° angle, and the other two angles must be 30° and 60°.
And by the definition of sine: sin of an angle = (opposite leg) / hypotenuse
Opposite leg is [tex]x\sqrt{3}[/tex] and hypotenuse is 2x.
[tex]x\sqrt{3} /2x[/tex]
Cancel x
Then:
sin 60 ° = [tex]\frac{\sqrt{3} }{2}[/tex]
