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

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!

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