
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the right triangle shown below, $X$, $Y$, and $Z$ form the vertices. $XZ$ is the hypotenuse, and $\angle XYZ = 30^\circ$. The length of $YZ$ (opposite to the $30^\circ$ angle) is $12$ units. Find the length of $XY$ (the adjacent side to the $30^\circ$ angle).

[asy]
unitsize(1inch);
pair P,Q,R;
P = (0,0);
Q= (1,0);
R = (0,1);
draw (P--Q--R--P,linewidth(0.9));
draw(rightanglemark(Q,P,R,3));
label("$X$",P,S);
label("$Y$",Q,S);
label("$Z$",R,N);
label("$12$",R/2,W);
label("$30^\circ$",(0.7,0),N);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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