
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 that Sam is walking in a straight line towards a lamp post which is $8 \mathrm{~m}$ high, when he is $12 \mathrm{~m}$ away from the lamp post, his shadow is $4 \mathrm{~m}$ in length, determine the length of his shadow when he is $8 \mathrm{~m}$ from the lamp post.

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