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Trigonometry: Finding a Missing Side (Year 9)

Free printable UK Year 9 (Key Stage 3) maths worksheet: use sin, cos or tan to find a missing side of a right-angled triangle given an angle and 1 other side.

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Grade 8 · Math worksheet
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Trigonometry: Finding a Missing Side

Use a trigonometric ratio (sin, cos or tan) to find the missing side of each right-angled triangle, correct to 1 decimal place.

  1. 1.
    A right-angled triangle has a hypotenuse of 33 and an angle theta of 25 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  2. 2.
    A right-angled triangle has a side of 18 adjacent to an angle theta of 15 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  3. 3.
    A right-angled triangle has a hypotenuse of 35 and an angle theta of 38 degrees. Find the length of the side adjacent to theta, correct to 1 decimal place.
  4. 4.
    A right-angled triangle has a hypotenuse of 27 and an angle theta of 38 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  5. 5.
    A right-angled triangle has a side of 43 adjacent to an angle theta of 70 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  6. 6.
    A right-angled triangle has a hypotenuse of 28 and an angle theta of 24 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  7. 7.
    A right-angled triangle has a side of 15 adjacent to an angle theta of 69 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  8. 8.
    A right-angled triangle has a side of 11 adjacent to an angle theta of 30 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  9. 9.
    A right-angled triangle has a hypotenuse of 27 and an angle theta of 37 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
  10. 10.
    A right-angled triangle has a side of 18 adjacent to an angle theta of 37 degrees. Find the length of the side opposite theta, correct to 1 decimal place.
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