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Grade 10 · Trigonometry
Trigonometry: Solving Triangles & Angles of Elevation
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Find x: opposite a 40° angle, hypotenuse 15 cm.
    (2)
  2. 2
    Find x: adjacent to a 55° angle, hypotenuse 20 cm.
    (2)
  3. 3
    Find x: opposite a 30° angle, adjacent 12 cm.
    (2)
  4. 4
    Find θ: opposite 7, adjacent 10.
    (2)
  5. 5
    Find θ: opposite 5, hypotenuse 13.
    (2)
  6. 6
    Find θ: adjacent 8, hypotenuse 17.
    (2)
  7. 7
    From 120 m away the elevation to a tower top is 34°. Find its height.
    (2)
    34° 120 m h = ? observer tan 34° = h ÷ 120 → h = 120 tan 34°
  8. 8
    What is the difference between an angle of elevation and one of depression?
    (2)
TOTAL: 16 marks
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