Related Rates - Lengthening Shadow

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2011-11-23 17:36

Calculus Geometric Construction

This example demonstrates how the length of a man's shadow changes as he moves away from a light source. Key mathematical concepts include ratios and geometric construction. Using GeoGebra commands such as Segment, Line, Intersect, Circle, Point, and Polygon, the example dynamically shows the changes in shadow length. Suitable for high school and above students learning related rates problems.

GeoGebra Commands & Parameters

Segment(HEAD, FEET) → b
Segment(LAMP, LAMP2) → c
Line(LAMP, HEAD) → d
Intersect(d, e) → S
Segment(FEET, S) → f
Circle(LAMP, A) → g
Point(f) → B
Polygon(B, HEAD, S) → poly1, s, b_1, head
Segment(LAMP, HEAD) → h