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Astronomy and Critical Thinking:
You are standing within a small town on the east coast of the United States looking westward, with one big difference from normal reality:
Instead of the spherical Earth giving you a horizon, the view curves gently upward, allowing you to look out across the whole country. You have the use of a camera (that can measure brightness) and a telescope (that can measure angles), and you can make observations day or night. You can measure distance within the town by pacing.
Your task is to measure the size of the United States without leaving the small town. Provide a detailed procedure and explanation using only the tools and information provided that would accomplish the assignment to estimate the size of the United States. Your explanation must include any assumptions, limitations (constraints), and potential sources of error.
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