Answer: 8 (The second option).
Step-by-step explanation:
1. To solve this exercise you draw a line to a point O, this lines will bisect the angle of Z∠60°. Then will obtain two into two right triangles with two angles of 30° at the point Z.
2. The lenght XY will be twice the lengt XO or YO.
3. Let's calclate XO as following:
[tex]sin(30)=\frac{XO}{8}\\XO=4[/tex]
4. Then, XY is:
[tex]XY=2XO\\XY=2*4\\XY=8[/tex]
