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Worksheet10th GradeLevel 1 · Easier

Free 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. 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 1 · Easier
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 1

  1. 110th Grade Trigonometry (Finding Sides) Worksheet — Level 2
  2. 210th Grade Trigonometry (Finding Sides) Worksheet — Level 3
Harder: 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 1 · easier; a harder 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?

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

Preview

Success TutoringWorksheets10th Grade · Mathematics · Trigonometry

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

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 17 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.
2.In a right triangle, the hypotenuse is 14 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.
3.In a right triangle, the hypotenuse is 11 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.
4.In a right triangle, the hypotenuse is 24 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.
5.In a right triangle, the hypotenuse is 20 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.
6.In a right triangle, the hypotenuse is 8 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.
7.In a right triangle, the hypotenuse is 18 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.
8.In a right triangle, the hypotenuse is 29 cm and one angle is 52°. Find the side opposite the 52° angle, 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 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
  • Worksheet

    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…

    Difficulty
    Level 3 · Challenge
    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.