
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
Two runners, Ella and Finn, start at points $E$ and $F$ respectively, on a straight running track. The distance between $E$ and $F$ is $120$ meters. Ella starts running from $E$ at a speed of $9$ meters per second in a direction that makes a $45^\circ$ angle with the line $EF$. Simultaneously, Finn starts from $F$ at a speed of $8$ meters per second and runs so as to meet Ella as quickly as possible, considering their speeds. Determine the distance Ella runs before they meet.

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