
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 diagram, circle $O$ has a radius of 10 units. Chord $EF$ has length 12 units and is parallel to segment $MB$, which is tangent to the circle at point $A$. If $MA = 15$ units, and points $M$, $A$, and $O$ are such that $MO$ makes a $30^\circ$ angle with $AO$, what is the area of triangle $MEF$?

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