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Find angles with inverse trig

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

Name

Date

Score/ 16

  1. Question 1

    A right triangle has opposite side 3 cm and adjacent side 15 cm to angle θ. Find θ to 1 decimal place.

    Answer

  2. Question 2

    In a right triangle the hypotenuse is 9 m and the side adjacent to angle θ is 3 m. Find θ to 1 decimal place.

    Answer

  3. Question 3

    A right triangle has opposite side 8 cm and adjacent side 2 cm to angle θ. Find θ to 1 decimal place.

    Answer

  4. Question 4

    In a right triangle the hypotenuse is 23 m and the side opposite angle θ is 7 m. Find θ to 1 decimal place.

    Answer

  5. Question 5

    A right triangle has opposite side 13 cm and adjacent side 14 cm to angle θ. Find θ to 1 decimal place.

    Answer

  6. Question 6

    In a right triangle the hypotenuse is 28 m and the side opposite angle θ is 7 m. Find θ to 1 decimal place.

    Answer

  7. Question 7

    A right triangle has opposite side 5 cm and adjacent side 2 cm to angle θ. Find θ to 1 decimal place.

    Answer

  8. Question 8

    In a right triangle the hypotenuse is 20 m and the side opposite angle θ is 11 m. Find θ to 1 decimal place.

    Answer

  9. Question 9

    A right triangle has opposite side 14 cm and adjacent side 6 cm to angle θ. Find θ to 1 decimal place.

    Answer

  10. Question 10

    In a right triangle the hypotenuse is 11 m and the side adjacent to angle θ is 4 m. Find θ to 1 decimal place.

    Answer

  11. Question 11

    A right triangle has opposite side 5 cm and adjacent side 13 cm to angle θ. Find θ to 1 decimal place.

    Answer

  12. Question 12

    In a right triangle the hypotenuse is 10 m and the side opposite angle θ is 3 m. Find θ to 1 decimal place.

    Answer

  13. Question 13

    A right triangle has opposite side 11 cm and adjacent side 6 cm to angle θ. Find θ to 1 decimal place.

    Answer

  14. Question 14

    In a right triangle the hypotenuse is 25 m and the side adjacent to angle θ is 14 m. Find θ to 1 decimal place.

    Answer

  15. Question 15

    A right triangle has opposite side 8 cm and adjacent side 15 cm to angle θ. Find θ to 1 decimal place.

    Answer

  16. Question 16

    In a right triangle the hypotenuse is 24 m and the side adjacent to angle θ is 6 m. Find θ to 1 decimal place.

    Answer

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  1. 11.3
  2. 70.5
  3. 76
  4. 17.7
  5. 42.9
  6. 14.5
  7. 68.2
  8. 33.4
  9. 66.8
  10. 68.7
  11. 21
  12. 17.5
  13. 61.4
  14. 55.9
  15. 28.1
  16. 75.5