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Trigonometry word problems

Students practice solving real-world trigonometry word problems involving angles of elevation and depression through multiple-choice questions, step-by-step procedures, and matching scenarios to appropriate ratios, suitable for 10th-grade learners.

By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New

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Questions

  1. Which of the following situations can be solved using the tangent ratio (SOHCAHTOA)? Select all that apply.
  2. Arrange the steps to solve for the height of a building using the angle of elevation and the distance from the building.
  3. Complete the sentence with the correct value: If the angle of depression from a lighthouse to a boat is 15° and the lighthouse is 100 feet tall, the distance from the base of the lighthouse to the boat is approximately ___ feet.
  4. Match each scenario to the trigonometric ratio you would use to solve it.
  5. Determine whether each statement about angles of elevation and depression is true or false.
  6. A 15-foot ladder leans against a wall, making a 60° angle with the ground. How high up the wall does the ladder reach (to the nearest tenth of a foot)?
  7. Sort each scenario as an angle of elevation or angle of depression problem.
  8. What trigonometric ratio would you use to find the length of a shadow cast by a building, given the building's height and the angle of elevation of the sun?

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