
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 triangle below, $LM = 20$ and $\cos N = \frac{3}{5}$. Determine the length of $LN$.

[asy]
pair L,M,N;
M = (0,0);
N = (20.78,0);
L = (0, 20);
draw(L--M--N--L);
draw(rightanglemark(L,M,N,18));
label("$M$",M,SW);
label("$N$",N,SE);
label("$L$",L,N);
label("$20$",L/2,W);
[/asy]

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