Light and Shadow

Light and Shadow
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2016-02-09 03:04
In collections Fun with Functions
This example demonstrates the dynamic relationship between a person's shadow length and a lamppost under changing light conditions. Core math concepts include related rates, trigonometry, and coordinate geometry. It is constructed using GeoGebra commands like Textfield, Vector, VerticalText, and objects such as axis, A, pic2, pic4, dxdt, inputBox1, AnimationOn, Lamp, t, d, C, B, Person, D, Shad, Tip, E, u, v, w, text1, text2, text3, text4, Dist, Dtrace, Shadow, Strace, Both, Btrace, a, b, c. Suitable for high school mathematics education to understand related rates problems.

GeoGebra Commands & Parameters

  1. Textfield(dxdt) → inputBox1
  2. Vector(A, C) → u
  3. Vector(C, E) → v
  4. Vector(B, E) → w
  5. VerticalText("Lamp Post ( 6 m )") → text1
  6. VerticalText("Person ( 2m )") → text2