Success TutoringWorksheets

11th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 11th Grade trigonometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Trigonometry

11th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — 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 10 cm and one angle is 43°. Find the side opposite the 43° angle, to 1 decimal place.

Answer: 6.8 cm

  1. sin 43° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 43°
  3. ≈ 6.8
2.In a right triangle, the hypotenuse is 28 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.

Answer: 10 cm

  1. sin 21° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 21°
  3. ≈ 10
3.In a right triangle, the hypotenuse is 23 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 18.4 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 23 × sin 53°
  3. ≈ 18.4
4.In a right triangle, the side adjacent to a 44° angle is 18 m. Find the opposite side, to 1 decimal place.

Answer: 17.4 m

  1. tan 44° = opposite ÷ adjacent
  2. opposite = 18 × tan 44°
  3. ≈ 17.4
5.In a right triangle, the hypotenuse is 7 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 2.8 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 24°
  3. ≈ 2.8
6.In a right triangle, the side adjacent to a 61° angle is 21 m. Find the opposite side, to 1 decimal place.

Answer: 37.9 m

  1. tan 61° = opposite ÷ adjacent
  2. opposite = 21 × tan 61°
  3. ≈ 37.9
7.In a right triangle, the hypotenuse is 13 cm and one angle is 47°. Find the side adjacent to the 47° angle, to 1 decimal place.

Answer: 8.9 cm

  1. cos 47° = adjacent ÷ hypotenuse
  2. adjacent = 13 × cos 47°
  3. ≈ 8.9
8.In a right triangle, the hypotenuse is 28 cm and one angle is 34°. Find the side opposite the 34° angle, to 1 decimal place.

Answer: 15.7 cm

  1. sin 34° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 34°
  3. ≈ 15.7
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.