
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
Amerigo Vespucci has a new map of America on the complex plane, still with no distortion of distances. On this map: 
- Los Angeles corresponds to the origin, $0$.
- Chicago corresponds to $3000i$.
- Miami corresponds to the point $900 + 1200i$. 
Calculate the distance from Miami to Los Angeles on this complex plane.

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