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Grade 10 Solving Right Triangles with Trigonometry Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 4: Right-Triangle TrigonometryTrig RatiosCCSS G-SRT.C.8

Using sine, cosine and tangent and their inverses to find missing sides and angles. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Solving Right Triangles with Trigonometry

Grade 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Trig Ratios · CCSS G-SRT.C.8

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

In a right triangle, angle A = 61° and the hypotenuse is 13. Find the side adjacent to A, to 1 decimal place.

Answer: 6.3

RememberSOH CAH TOA

θadjacentoppositehypotenuseSOH sin θ = opposite ÷ hypotenuseCAH cos θ = adjacent ÷ hypotenuseTOA tan θ = opposite ÷ adjacent
  1. 1

    In a right triangle, angle A = 44° and the side opposite A is 17. Find the hypotenuse, to 1 decimal place.

    Show your work
    Answer
  2. 2

    In a right triangle, angle A = 17° and the hypotenuse is 11. Find the side adjacent to A, to 1 decimal place.

    x11A = 17°
    Answer
  3. 3

    In a right triangle, angle A = 54° and the side opposite A is 20. Find the hypotenuse, to 1 decimal place.

    Show your work
    Answer
  4. 4

    In a right triangle, angle A = 55° and the hypotenuse is 7. Find the side adjacent to A, to 1 decimal place.

    x7A = 55°
    Answer
  5. 5

    In a right triangle, angle A = 32° and the hypotenuse is 17. Find the side opposite A, to 1 decimal place.

    x17A = 32°
    Answer
  6. 6

    In a right triangle, angle A = 23° and the hypotenuse is 6. Find the side adjacent to A, to 1 decimal place.

    x6A = 23°
    Answer
  7. 7

    In a right triangle, angle A = 23° and the hypotenuse is 7. Find the side adjacent to A, to 1 decimal place.

    x7A = 23°
    Answer
  8. 8

    In a right triangle, angle A = 68° and the side opposite A is 30. Find the hypotenuse, to 1 decimal place.

    Show your work
    Answer
  9. 9

    In a right triangle, angle A = 29° and the hypotenuse is 20. Find the side adjacent to A, to 1 decimal place.

    x20A = 29°
    Answer
  10. 10

    In a right triangle, angle A = 66° and the hypotenuse is 12. Find the side opposite A, to 1 decimal place.

    x12A = 66°
    Answer
  11. 11

    In a right triangle, angle A = 60° and the hypotenuse is 26. Find the side opposite A, to 1 decimal place.

    x26A = 60°
    Answer
  12. 12

    In a right triangle, angle A = 71° and the hypotenuse is 9. Find the side adjacent to A, to 1 decimal place.

    x9A = 71°
    Answer

★ Challenge corner for fast finishers

7 points are marked on a circle. How many different triangles can be drawn using these points as corners?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/trig_solve

Answer key (click to show)
  1. 1.24.5
  2. 2.10.5
  3. 3.24.7
  4. 4.4
  5. 5.9
  6. 6.5.5
  7. 7.6.4
  8. 8.32.4
  9. 9.17.5
  10. 10.11
  11. 11.22.5
  12. 12.2.9
  13. ★35 (challenge corner)

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