
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
From a point on the horizontal plane at the base of a tower, the angle of elevation to the top of the tower is measured to be 30°. After walking 20 meters on a straight line towards the tower, the angle of elevation to the top is measured to be 45°. What is the height of the tower?

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