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Worksheet10th GradeLevel 3 · Challenge

Free 10th Grade Trigonometry (Finding Sides) Worksheet — Level 3

Use sine, cosine and tangent to find unknown sides in right triangles. A challenge set for students ready to stretch further. This 10th Grade worksheet has 8 questions and comes with a full answer sheet showing the working for every question.

Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.

Instant download · No sign-up · Free for personal, classroom and homeschool use

Grade
10th Grade
Subject
Math
Topic
Trigonometry
Difficulty
Level 3 · Challenge
Estimated time
20 minutes
Curriculum
Texas grade levels (TEKS)
Questions
8
Answers
Included, with working
Format
PDF (A4), print or complete online

Students will practice

  • labeling sides relative to an angle
  • choosing the correct trigonometric ratio
  • finding unknown sides

Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: 10th Grade Trigonometry (Finding Sides) Worksheet — Level 3

Ready for more? Move on to 11th Grade Math.

← Easier: Level 2 · Standard

How to use this worksheet

  1. Print the PDF or complete it on screen. Write the student's name and date at the top.
  2. Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
  3. Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
  4. Record the score, celebrate what went well, then follow the "What's next" suggestion.

Common questions

Who is this worksheet for?

10th Grade students (typically ages 15–16) working on trigonometry. It is pitched at level 3 · challenge; an easier version is linked above.

Are the answers included?

Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.

How long does it take?

About 20 minutes for 8 questions. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Explore more 10th Grade mathematics resources.

Preview

Success TutoringWorksheets10th Grade · Mathematics · Trigonometry

10th Grade Trigonometry (Finding Sides) Worksheet — Level 3

Name

Date

Score /

Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.

1.In a right triangle, the hypotenuse is 30 cm and one angle is 26°. Find the side opposite the 26° angle, to 1 decimal place.
2.In a right triangle, the side adjacent to a 63° angle is 21 m. Find the opposite side, to 1 decimal place.
3.In a right triangle, the hypotenuse is 7 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.
4.In a right triangle, the hypotenuse is 9 cm and one angle is 53°. Find the side adjacent to the 53° angle, to 1 decimal place.
5.In a right triangle, the hypotenuse is 12 cm and one angle is 26°. Find the side opposite the 26° angle, to 1 decimal place.
6.In a right triangle, the hypotenuse is 28 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.
7.In a right triangle, the hypotenuse is 15 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.
8.In a right triangle, the side adjacent to a 27° angle is 7 m. Find the opposite side, to 1 decimal place.
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Preview — the PDF contains the full resource and answer sheet.

More 10th Grade trigonometry resources

  • Worksheet

    10th Grade Trigonometry (Finding Sides) Worksheet — Level 1

    Use sine, cosine and tangent to find unknown sides in right triangles. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    10th Grade Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right triangles. Expected-level practice for this grade. This 10th Grade worksheet…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Trigonometry in other year levels

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About this resource

Created by
Success Tutoring Maths Team
Reviewed by
Success Tutoring
Last reviewed
1 October 2026
How it was made
Generated by checked procedures

Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.