
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
Given the shadow length $l$ is equal to the product of the table height $h$ and the tangent value of the solar zenith angle $\theta$, and $\tan(\alpha-\beta)=\frac{1}{3}$, if the shadow length in the first measurement is three times the table height, determine the shadow length in the second measurement as a multiple of the table height.

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