Explanation:
using SOH CAH TOA
0=30°, hyp =x,adj=y,opp=4
sin0=opp/hyp
sin 30=4/x
0.5=4/x
0.5x=4
divide both sides by 0.5
x=8
using c²=a²+b²
where c=Hypotenuse=8
a=opposite=4
b=Adjacent=y
making b the subject of formula
b²=c²-a²
b²=8²-4
b²=64-16
b²=48
b=√48
b=4√3