Answer: [tex]y=2\sqrt{3}[/tex]
Step-by-step explanation:
Apply:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
Use the length and the angle given in the triangle of the left to calculate the adjacent side (which we will call x) of the triangle of the right:
[tex]sin(45)=\frac{x}{2\sqrt{2}}\\x={2\sqrt{2}*sin(45)\\x=2[/tex]
Then you must substitute and solve for y:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
[tex]\alpha=60\°\\adjacent=2\\opposite=y[/tex]
[tex]y=2*tan(60)=2\sqrt{3}[/tex]
