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Finding missing angles with trigonometry

Students practise finding an angle using inverse trig functions by calculating θ from given opposite, adjacent, or hypotenuse values and answering short multiple-choice/free-response questions, including nearest-degree estimates and a sin⁻¹ value in degree mode. Level: 10th grade.

By Edform · Mathematics · Grade 10 · Published Oct 28, 2026 · New

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Questions

  1. In a right triangle, the side opposite θ is 7 and the hypotenuse is 25. Which expression finds θ?
  2. A right triangle has opposite side 9 and adjacent side 12 relative to θ. To the nearest degree, what is θ?
  3. The adjacent side to θ is 8 and the hypotenuse is 10. To the nearest degree, what is θ?
  4. What does sin⁻¹(0.6) give when your calculator is in degree mode?
  5. In a right triangle, the opposite side to θ is 5 and the adjacent side is 12. Which expressions correctly find θ? Select all that apply.
  6. A right triangle has opposite side 6 and adjacent side 8 relative to θ. Find θ in degrees to the nearest tenth.
  7. What is another name for the inverse tangent function?
  8. Put the steps for finding an angle from two known sides in the correct order.
  9. Complete the sentence with the inverse trig expression that finds θ.
  10. Choose the expression that correctly completes the sentence.

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