
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
A triangle has an area of $30$, with one side of length $12$, and the median to that side of length $8$. Let $\theta$ be the acute angle formed by that side and the median. What is $\sin{\theta}$?
A) $\frac{5}{12}$
B) $\frac{2}{3}$
C) $\frac{5}{8}$
D) $\frac{3}{4}$
E) $\frac{9}{10}$

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