Success TutoringWorksheets

11th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 3 — 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 2 — Practice Set 3 — Answers

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

1.In a right triangle, the hypotenuse is 5 cm and one angle is 52°. Find the side adjacent to the 52° angle, to 1 decimal place.

Answer: 3.1 cm

  1. cos 52° = adjacent ÷ hypotenuse
  2. adjacent = 5 × cos 52°
  3. ≈ 3.1
2.In a right triangle, the hypotenuse is 7 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 2.6 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 22°
  3. ≈ 2.6
3.In a right triangle, the hypotenuse is 17 cm and one angle is 25°. Find the side opposite the 25° angle, to 1 decimal place.

Answer: 7.2 cm

  1. sin 25° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 25°
  3. ≈ 7.2
4.In a right triangle, the side adjacent to a 53° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 18.6 m

  1. tan 53° = opposite ÷ adjacent
  2. opposite = 14 × tan 53°
  3. ≈ 18.6
5.In a right triangle, the hypotenuse is 7 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.

Answer: 4.4 cm

  1. sin 39° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 39°
  3. ≈ 4.4
6.In a right triangle, the side adjacent to a 47° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 15 m

  1. tan 47° = opposite ÷ adjacent
  2. opposite = 14 × tan 47°
  3. ≈ 15
7.In a right triangle, the side adjacent to a 36° angle is 5 m. Find the opposite side, to 1 decimal place.

Answer: 3.6 m

  1. tan 36° = opposite ÷ adjacent
  2. opposite = 5 × tan 36°
  3. ≈ 3.6
8.In a right triangle, the hypotenuse is 18 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.

Answer: 11.3 cm

  1. sin 39° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 39°
  3. ≈ 11.3
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: