
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
On a horizontal plane, three points are 100 meters, 200 meters, and 300 meters away from the base of a tower. The sum of the angles of elevation from these three points to the top of the tower is $90^{\circ}$. What is the height of the tower?

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