Answer: OPTION B
Step-by-step explanation:
You must find the value of XZ as following:
[tex]sin(30\°)=XZ/4\\XZ=4*sin(30\°)\\XZ=2[/tex]
You must calculate the value of YZ as following:
[tex]cos(30\°)=YZ/4\\YZ=4*cos(30\°)\\YZ=2\sqrt{3}[/tex]
Now, you can calculate the value of tan(Y), then you obtain:
[tex]tan(Y)=opposite/adjacent\\tan(Y)=2/2\sqrt{3}[/tex]
When you rationalized the expresion, you obtain:
[tex]\frac{2}{2\sqrt{3}}*\frac{2\sqrt{3}}{2\sqrt{3}}=\frac{4\sqrt{3}}{4*3}=\frac{\sqrt{3}}{3}[/tex]
[tex]tan(Y)=\frac{\sqrt{3}}{3}[/tex]
