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Two Sticks at Noon

At noon, two upright sticks far apart can cast shadows of different lengths because Earth’s surface is curved. The angle between the sunlight and each stick reveals how much of Earth’s circumference lies between them.

In the picture

  1. The top of the left stick: where the vertical stick meets the incoming sunlight.
  2. The tip of the right stick’s shadow: the shadow’s length and direction.
  3. A parallel sunlight ray: incoming light striking both sticks at the same angle.
  4. The meeting point of the two lines at Earth’s center: the central angle between the two locations.

Examples

  • Two friends in different cities compare their noon shadows by phone.
  • A satellite dish and a flagpole in the same town cast unequal shadows at solar noon.

Quiz: Two Sticks at Noon (Age 16)

  1. Why can two upright sticks far apart cast shadows of different lengths at noon?

    • Because one location is farther from the Sun.
    • Because one stick is taller than the other.
    • Because Earth’s surface is curved between the two locations.
  2. What does the angle between the sunlight and each stick reveal?

    • How tall each stick is.
    • What time it is at each location.
    • How much of Earth’s circumference lies between the two locations.
  3. If you know the distance between two locations and the difference in their noon shadow angles, what can you work out?

    • Earth’s circumference.
    • The distance from Earth to the Sun.
    • The height of each stick.

The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.

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Science, Age 16