
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
Xiao Liang's height is $1.6$ meters. At a certain moment, the length of his shadow on the horizontal ground is $2$ meters. If at the same moment the nearby ancient tower has a shadow length of $18$ meters on the horizontal ground, then the height of the ancient tower is ____ meters.

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