Answer:
Option A
Step-by-step explanation:
To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Now we take an angle measuring 60°
sin(60°) = [tex]\frac{6}{y}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{6}{y}[/tex]
y = 4√3
tan(60°) = [tex]\frac{6}{x}[/tex]
√3 = [tex]\frac{6}{x}[/tex]
x = 2√3
Therefore, Option A will be the correct option.