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Grade 10 · Trigonometry
Trigonometry: SOH-CAH-TOA and Every Question Type
WORKSHEET
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  / 20

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

  1. 1
    Find x opposite a 30° angle, hypotenuse 8. (sine)
    (2)
    x830°
  2. 2
    Find x opposite a 50° angle, hypotenuse 10. (sine)
    (2)
    x1050°
  3. 3
    Find x adjacent to a 60° angle, hypotenuse 14. (cosine)
    (2)
    x1460°
  4. 4
    Find x opposite a 40° angle, adjacent 9. (tangent)
    (2)
    9x40°
  5. 5
    The side opposite a 30° angle is 5. Find the hypotenuse. (hypotenuse)
    (2)
    5?30°
  6. 6
    opposite = 6, hypotenuse = 12. Find θ. (angle)
    (2)
    612θ
  7. 7
    adjacent = 8, hypotenuse = 16. Find θ. (angle)
    (2)
    816θ
  8. 8
    opposite = 5, adjacent = 5. Find θ. (angle)
    (2)
    55θ
  9. 9
    Give the exact value of sin 30° and tan 45°. (special)
    (2)
  10. 10
    A rope to the top of a 6 m pole makes 40° with the ground. Rope length? (application)
    (2)
TOTAL: 20 marks
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