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Dynamic Illustration of Bearings

Dynamic Illustration of Bearings
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2017-08-26 11:52
AngleVectorTrigonometry
This example demonstrates the bearing and distance from point A to point B, then from point B to point C. It involves concepts such as angles, vectors, and trigonometry. Commands used include Circle, Intersect, Rotate, Dilate, Segment, Angle, and Textfield. Suitable for middle school and above students to learn about bearings and vectors.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Intersect(c, f, 1) → B
  3. Rotate(B, ((-b) * π / 180), A) → B'
  4. Circle(B', d) → e
  5. Intersect(e, h, 1) → C
  6. Rotate(C, ((-j) * π / 180), B') → C'
  7. Dilate(A, If[0 < k ≤ 1, 1 - k, 0], B) → A'
  8. Segment(A, A') → l
  9. Angle(B', A, B) → α
  10. Angle(C', B', C) → β
  11. Rotate(B, If[1 < k ≤ 2, ((-(k - 1)) * α), (-α)], A) → B'_1
  12. Angle(B'_1, A, B) → γ
  13. Segment(A, B'_1) → m
  14. Dilate(B', If[2 < k ≤ 3, 3 - k, 0], C) → B''
  15. Segment(B', B'') → n
  16. Rotate(C, If[3 < k ≤ 4, ((-(k - 3)) * β), (-β)], B') → C'_1
  17. Angle(C'_1, B', C) → δ
  18. Segment(B', C'_1) → p
  19. Segment(A, C') → q
  20. Angle(C', A, B) → ε
  21. Textfield(a) → InputBox1
  22. Textfield(b) → InputBox2
  23. Textfield(d) → InputBox3
  24. Textfield(j) → InputBox4
  25. Dilate(A, If[0 < o ≤ 1, 1 - o, 0], C'_1) → A'_1
  26. Segment(A, A'_1) → r
  27. Circle(A, C') → s
  28. Intersect(s, f) → D, E
  29. Rotate(D, If[1 < o ≤ 2, ((-(o - 1)) * ε), (-ε)], A) → D'
  30. Angle(D', A, D) → η