Respuesta :
Answer:
[tex]AC=9\sqrt{3}\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
[tex]sin(60\°)=\frac{AC}{BC}[/tex]
[tex]sin(60\°)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{AC}{BC}=\frac{\sqrt{3}}{2}[/tex]
we have
[tex]BC=18\ units[/tex]
substitute
[tex]\frac{AC}{18}=\frac{\sqrt{3}}{2}[/tex]
[tex]AC=18\frac{\sqrt{3}}{2}=9\sqrt{3}\ units[/tex]
![Ver imagen calculista](https://us-static.z-dn.net/files/d40/7cb4bcb1c8e2401490190031cb247d18.jpg)
The above answer is correct! The answer is D, or [tex]9\sqrt{3}[/tex].
Just got it right on edge 2020, hope this helps!! :) Good luck!