Respuesta :

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]

Ver imagen calculista