
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
We measured the angle of elevation of an antenna tower standing on flat terrain from distances of $100 \text{ m}$, $200 \text{ m}$, and $300 \text{ m}$ from its base. The sum of the three angles is $90^\circ$. How tall is the tower?

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