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Estimating Earth's size from a local shadow

Accounts of Eratosthenes' method connect the difference in the Sun's angle at two places with the distance between them, using geometry to scale up to Earth's circumference. The ancient units and surviving accounts leave room for historical uncertainty.

3–5 min

Questions you could explore

  • Which assumptions turn an angle and a distance into a circumference?
  • How could a nonvertical stick or an inaccurate distance affect an Earth-circumference estimate?

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Earth and weather

How can lines on a map show a steep hill?

A flat map can warn you that a route climbs sharply before you ever see the hill. Contour lines join places of equal height, and their spacing adds information about how quickly the ground rises.

2–3 min
Earth and weather

How can an earthquake alert arrive before strong shaking?

An earthquake alert can beat the strongest shaking to a distant location even though the earthquake has already started. Detection and communication can travel ahead of the damaging waves, but nearby places may receive little or no warning.

4–5 min
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