
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
Billy is on a hike in Vermont. He starts walking eastward six miles, then turns 45 degrees north-east and walks four miles. Finally, he turns 60 degrees northward from his last direction and walks eight miles. Calculate how far Billy is from his starting point, expressing the answer in simplest radical form.

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