Given ABC = XYZ If AC = 10, determine the length of YZ

The length of YZ is 5
Explanation:Since the triangles are similar, we know that YZ = BC
and
[tex]\begin{gathered} \sin 30=\frac{BC}{10} \\ \\ BC=10\sin 30 \\ =10\times\frac{1}{2} \\ \\ =5 \end{gathered}[/tex]Therefore, YZ = 5