
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 hiking in Colorado. He starts by walking eastward seven miles, then turns 45 degrees northward and walks eight miles, and finally walks straight north for another four miles. How far is he from his starting point? Express your answer in simplest radical form.

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