XYZ is a right triangle. If XY = 4, what is YZ?
A. 8
B. 8\sqrt{3}
C. 4\sqrt{3}
D. 16

We are given
angle(Z)=30
Let's assume angle (Z) as reference angle
so, opposite=XY=4
adjacent=YZ
so, we can use tan formula
[tex] tan(Z)=\frac{XY}{YZ} [/tex]
now, we can plug values
[tex] tan(30)=\frac{4}{YZ} [/tex]
[tex] YZ=\frac{4}{tan(30)} [/tex]
[tex] YZ=4\sqrt{3} [/tex]...............Answer