What is the value of y?
Enter your answer, as an exact value, in the box.
y =

Answer:
[tex]y=2\sqrt{3}\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
[tex]AC=BC[/tex] -----> by a 45°-90°-45° triangle
so
[tex]cos(45\°)=\frac{BC}{AB}[/tex]
[tex]BC=ABcos(45\°)[/tex]
substitute the values
[tex]BC=(2\sqrt{2})(\frac{\sqrt{2}}{2})=2\ units[/tex]
In the right triangle BCD
[tex]tan(60\°)=\frac{BD}{BC}[/tex]
substitute the values
[tex]\sqrt{3} =\frac{y}{2}\\ \\ y=2\sqrt{3}\ units[/tex]