Answer:uses a visual representation of the logical flow of steps needed to reach a conclusion
Step-by-step explanation:
Answer:
![y=2\sqrt{3}\ units](https://tex.z-dn.net/?f=y%3D2%5Csqrt%7B3%7D%5C%20units)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
<em>In the right triangle ABC</em>
-----> by a 45°-90°-45° triangle
so
![cos(45\°)=\frac{BC}{AB}](https://tex.z-dn.net/?f=cos%2845%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
![BC=ABcos(45\°)](https://tex.z-dn.net/?f=BC%3DABcos%2845%5C%C2%B0%29)
substitute the values
![BC=(2\sqrt{2})(\frac{\sqrt{2}}{2})=2\ units](https://tex.z-dn.net/?f=BC%3D%282%5Csqrt%7B2%7D%29%28%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29%3D2%5C%20units)
<em>In the right triangle BCD</em>
![tan(60\°)=\frac{BD}{BC}](https://tex.z-dn.net/?f=tan%2860%5C%C2%B0%29%3D%5Cfrac%7BBD%7D%7BBC%7D)
substitute the values
![\sqrt{3} =\frac{y}{2}\\ \\ y=2\sqrt{3}\ units](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%3D%5Cfrac%7By%7D%7B2%7D%5C%5C%20%5C%5C%20y%3D2%5Csqrt%7B3%7D%5C%20units)