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Dynamic Illustration of Bearing

Dynamic Illustration of Bearing
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2017-08-25 11:52
AngleVectorTrigonometry
This example demonstrates the concepts of distance and bearing, involving trigonometry and vectors. It dynamically shows the changes in bearing using commands like rotation and intersection. Suitable for high school math education, particularly in trigonometry and vector topics.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Intersect(c, f) → B, C
  3. Ray(A, B) → g
  4. Ray(A, C) → h
  5. Circle(A, r) → d
  6. Intersect(d, g) → D,
  7. Intersect(d, h) → F,
  8. Intersect(d, i) → G, H
  9. Rotate(D, ((-a) * π / 180), A) → D'
  10. Rotate(D, (a * π / 180), A) → D'_1
  11. Rotate(F, (a * π / 180), A) → F'
  12. Rotate(F, ((-a) * π / 180), A) → F'_1
  13. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], F) → A'
  14. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], D) → A'_1
  15. Segment(A, A'_1) → j
  16. Segment(A, A') → k
  17. Angle(D', A, D) → α
  18. Rotate(D, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → E
  19. Rotate(D, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → I
  20. Rotate(F, If[1 < b ≤ 2, ((b - 1) * α), (-α)], A) → F'_2
  21. Rotate(F, If[1 < b ≤ 2, ((-(b - 1)) * α), (-α)], A) → F'_3
  22. Angle(E, A, D) → β
  23. Angle(D, A, I) → γ
  24. Angle(F'_3, A, F) → δ
  25. Angle(F, A, F'_2) → ε
  26. Segment(A, E) → p
  27. Segment(A, I) → q
  28. Segment(A, F'_2) → s
  29. Segment(A, F'_3) → t
  30. Textfield(r) → InputBox1