Success TutoringWorksheets

9th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 2 — 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 2 — Practice Set 2 — Answers

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

1.In a right triangle, the hypotenuse is 30 cm and one angle is 28°. Find the side adjacent to the 28° angle, to 1 decimal place.

Answer: 26.5 cm

  1. cos 28° = adjacent ÷ hypotenuse
  2. adjacent = 30 × cos 28°
  3. ≈ 26.5
2.In a right triangle, the hypotenuse is 11 cm and one angle is 46°. Find the side adjacent to the 46° angle, to 1 decimal place.

Answer: 7.6 cm

  1. cos 46° = adjacent ÷ hypotenuse
  2. adjacent = 11 × cos 46°
  3. ≈ 7.6
3.In a right triangle, the hypotenuse is 22 cm and one angle is 56°. Find the side adjacent to the 56° angle, to 1 decimal place.

Answer: 12.3 cm

  1. cos 56° = adjacent ÷ hypotenuse
  2. adjacent = 22 × cos 56°
  3. ≈ 12.3
4.In a right triangle, the side adjacent to a 31° angle is 12 m. Find the opposite side, to 1 decimal place.

Answer: 7.2 m

  1. tan 31° = opposite ÷ adjacent
  2. opposite = 12 × tan 31°
  3. ≈ 7.2
5.In a right triangle, the side adjacent to a 50° angle is 20 m. Find the opposite side, to 1 decimal place.

Answer: 23.8 m

  1. tan 50° = opposite ÷ adjacent
  2. opposite = 20 × tan 50°
  3. ≈ 23.8
6.In a right triangle, the hypotenuse is 20 cm and one angle is 44°. Find the side opposite the 44° angle, to 1 decimal place.

Answer: 13.9 cm

  1. sin 44° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 44°
  3. ≈ 13.9
7.In a right triangle, the hypotenuse is 22 cm and one angle is 70°. Find the side adjacent to the 70° angle, to 1 decimal place.

Answer: 7.5 cm

  1. cos 70° = adjacent ÷ hypotenuse
  2. adjacent = 22 × cos 70°
  3. ≈ 7.5
8.In a right triangle, the hypotenuse is 15 cm and one angle is 37°. Find the side adjacent to the 37° angle, to 1 decimal place.

Answer: 12 cm

  1. cos 37° = adjacent ÷ hypotenuse
  2. adjacent = 15 × cos 37°
  3. ≈ 12
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: