to find the value of XZ, we will use the trigonometric ratio
[tex]\begin{gathered} \cos \theta=\frac{adjacent}{hypotenus} \\ \theta=30^0 \\ \text{adjacent}=x \\ \text{hypotenus}=6 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} \cos 30^0=\frac{x}{6} \\ x=6\times\cos 30^0 \\ x=6\times0.8660 \\ x=5.196 \end{gathered}[/tex]Hence,
The value of YZ= 5.196