Success TutoringWorksheets

Year 11 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 11 trigonometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Trigonometry

Year 11 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — Answers

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

1.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 23°. Find the side opposite the 23° angle, to 1 decimal place.

Answer: 8.6 cm

  1. sin 23° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 23°
  3. ≈ 8.6
2.In a right-angled triangle, the hypotenuse is 24 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.

Answer: 20.1 cm

  1. sin 57° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 57°
  3. ≈ 20.1
3.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 13.6 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 58°
  3. ≈ 13.6
4.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 16.6 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 35°
  3. ≈ 16.6
5.In a right-angled triangle, the hypotenuse is 10 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 3.7 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 22°
  3. ≈ 3.7
6.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 10.8 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 46°
  3. ≈ 10.8
7.In a right-angled triangle, the hypotenuse is 12 cm and one angle is 34°. Find the side opposite the 34° angle, to 1 decimal place.

Answer: 6.7 cm

  1. sin 34° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 34°
  3. ≈ 6.7
8.In a right-angled triangle, the hypotenuse is 5 cm and one angle is 36°. Find the side opposite the 36° angle, to 1 decimal place.

Answer: 2.9 cm

  1. sin 36° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 36°
  3. ≈ 2.9
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: