Answer:
6
Step-by-step explanation:
The small right triangle at left is a 30-60-90 triangle.
x is the long leg, opposite the 60-deg angle.
The hypotenuse has length 4sqrt(3)
The ratio of the lengths of its sides is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg measures half the hypotenuse.
short leg = (1/2)4sqrt(3) = 2sqrt(3)
The long leg measures the short leg times sqrt(3)
long leg = 2sqrt(3) * sqrt(3)
long leg = 6
x = long leg = 6
Answer: 6
