Answer:
x = 6
y = 3
Step-by-step explanation:
Give triangle is a right triangle.
By applying sine ratio in the given triangle,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}[/tex]
x = 6
Now we take the cosine ratio in the given triangle,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{6}{2}=3[/tex]
Therefore, x = 6 and y = 3 will be the answer.
