
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
In the captain's log, we found the formula $d = p \sqrt{h}$ for determining the distance to the horizon, but the number in place of $p$ is not legible. In the formula, $d$ represents the distance to the horizon in kilometers, and $h$ is the observer's height above sea level in meters. Determine the value of $p$ so that we obtain a usable formula. (Consider the Earth's radius to be 6370 km.)

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