Success TutoringWorksheets

9th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade trigonometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Trigonometry

9th Grade 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 triangle, the hypotenuse is 16 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

Answer: 7.3 cm

  1. sin 27° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 27°
  3. ≈ 7.3
2.In a right triangle, the hypotenuse is 24 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 19.2 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 53°
  3. ≈ 19.2
3.In a right triangle, the hypotenuse is 15 cm and one angle is 55°. Find the side opposite the 55° angle, to 1 decimal place.

Answer: 12.3 cm

  1. sin 55° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 55°
  3. ≈ 12.3
4.In a right triangle, the hypotenuse is 30 cm and one angle is 52°. Find the side opposite the 52° angle, to 1 decimal place.

Answer: 23.6 cm

  1. sin 52° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 52°
  3. ≈ 23.6
5.In a right triangle, the hypotenuse is 11 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 3.8 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 20°
  3. ≈ 3.8
6.In a right triangle, the hypotenuse is 28 cm and one angle is 23°. Find the side opposite the 23° angle, to 1 decimal place.

Answer: 10.9 cm

  1. sin 23° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 23°
  3. ≈ 10.9
7.In a right triangle, the hypotenuse is 14 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.

Answer: 8.8 cm

  1. sin 39° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 39°
  3. ≈ 8.8
8.In a right triangle, the hypotenuse is 19 cm and one angle is 31°. Find the side opposite the 31° angle, to 1 decimal place.

Answer: 9.8 cm

  1. sin 31° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 31°
  3. ≈ 9.8
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: