Answer
x = 5.2 units
y = 6 units
Step-by-step explanation
We will use the trignometric identities to solve this
In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle is the Opposite and the remaining side is the Adjacent side.
Using SOH, CAH and TOA, we can easily solve for x and y
Hypotenuse = y
Opposite = x
Adjacent = 3
CAH tells us that
Cos 60° = (Adj)/(Hyp)
Cos 60° = (3/y)
0.50 = (3/y)
Cross multiply
y = (3/0.5)
y = 6 units
TOA tells us that
Tan 60° = (x/3)
Cross multiply
x = 3 Tan 60°
x = 3 (1.732)
x = 5.2 units.
Hope this Helps!!!