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Angles of Elevation and Depression by Patrick Chung

Angles of Elevation and Depression by Patrick Chung
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2020-03-01 22:23
AngleTrigonometryGeometric Construction
This example demonstrates the concepts of angles of elevation and depression, involving trigonometry. Using commands like Point, Segment, Circle, Intersect, Rotate, Angle, and Midpoint, it shows how to draw angles of elevation and depression with GeoGebra. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Point(f) → B
  2. Point(eq1) → D
  3. Point(f) → F
  4. Segment(A, F) → g
  5. Point(f_2) → K
  6. Point(f_3) → L
  7. Circle(J, r) → c
  8. Segment(J, E) → i
  9. Intersect(c, i) → M,
  10. Rotate(M, (-(135°)), J) → M'
  11. Angle(M', J, M) → α
  12. Rotate(M, (-(45°)), J) → M'_1
  13. Angle(M'_1, J, M) → β
  14. Segment((x(J) + 0.4, y(J)), K) → h
  15. Angle(K, J, E) → γ
  16. Angle(E, J, K) → δ
  17. Segment(G_2, G) → j
  18. Segment(L_2, L) → k
  19. Midpoint(i) → Z
  20. Angle(K, J, E) → ε
  21. Angle(E, J, K) → ζ
  22. Angle(K, J, E) → η
  23. Angle(E, J, K) → θ
  24. Angle(G_2, G, J) → ι
  25. Angle(G_2, G, J) → κ
  26. Angle(J, L, L_2) → λ
  27. Angle(J, L, L_2) → μ
  28. Corner(1) → C