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Choose sine, cosine or tangent for a problem

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.8 · England: GCSE Foundation Geometry, GCSE Higher Geometry

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  1. Question 1

    A 6 m ladder leans against a wall at 63° to the ground. To find how high up the wall it reaches, which ratio do you use with the 63° angle?

    • A. sin
    • B. cos
    • C. tan
  2. Question 2

    In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  3. Question 3

    A 18 m ladder leans against a wall at 46° to the ground. To find how high up the wall it reaches, which ratio do you use with the 46° angle?

    • A. sin
    • B. cos
    • C. tan
  4. Question 4

    In a right triangle you know angle θ and the opposite side. You want the adjacent side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  5. Question 5

    A 6 m ladder leans against a wall at 66° to the ground. To find how high up the wall it reaches, which ratio do you use with the 66° angle?

    • A. sin
    • B. cos
    • C. tan
  6. Question 6

    In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  7. Question 7

    A 16 m ladder leans against a wall at 46° to the ground. To find how high up the wall it reaches, which ratio do you use with the 46° angle?

    • A. sin
    • B. cos
    • C. tan
  8. Question 8

    In a right triangle you know angle θ and the opposite side. You want the adjacent side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  9. Question 9

    A 15 m ladder leans against a wall at 20° to the ground. To find how high up the wall it reaches, which ratio do you use with the 20° angle?

    • A. sin
    • B. cos
    • C. tan
  10. Question 10

    In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  11. Question 11

    A 18 m ladder leans against a wall at 22° to the ground. To find how high up the wall it reaches, which ratio do you use with the 22° angle?

    • A. sin
    • B. cos
    • C. tan
  12. Question 12

    In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  13. Question 13

    A 19 m ladder leans against a wall at 20° to the ground. To find how high up the wall it reaches, which ratio do you use with the 20° angle?

    • A. sin
    • B. cos
    • C. tan
  14. Question 14

    In a right triangle you know angle θ and the hypotenuse. You want the adjacent side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan
  15. Question 15

    A 15 m ladder leans against a wall at 31° to the ground. To find how high up the wall it reaches, which ratio do you use with the 31° angle?

    • A. sin
    • B. cos
    • C. tan
  16. Question 16

    In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?

    • A. sin
    • B. cos
    • C. tan

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Answer key: Choose sine, cosine or tangent for a problem

  1. 1. A. sin

  2. 2. C. tan

  3. 3. A. sin

  4. 4. C. tan

  5. 5. A. sin

  6. 6. B. cos

  7. 7. A. sin

  8. 8. C. tan

  9. 9. A. sin

  10. 10. B. cos

  11. 11. A. sin

  12. 12. B. cos

  13. 13. A. sin

  14. 14. B. cos

  15. 15. A. sin

  16. 16. C. tan