Answer:
Using trigonometry:
Let's take Tan of 60 degrees:
Tan 60 degrees = Opposite / adjacent
We can see that the opposite side is 3√3 and the adjacent side is x
Tan 60 degrees = 3√3 / x
From the trigonometric table, we know that Tan 60 degrees is √3
√3 = 3√3 / x
x = 3√3 / √3
x = 3
Now, we will take Sin of 60 degrees
Sin 60 degrees = Opposite / Hypotenuse
We can see that the opposite side is 3√3 and the hypotenuse is y
Sin 60 degrees = 3√3 / y
From the trigonometric table, we know that Sin 60 degrees is √3 / 2
√3/2 = 3√3 / y
y = 3√3 / (√3/2)
y = 3√3 * 2/√3
y = 6
Therefore, y = 6 and x = 3