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Year 9 Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Trigonometry

Year 9 Trigonometry (Finding Sides) Worksheet — Level 2 — 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 10 cm and one angle is 60°. Find the side opposite the 60° angle, to 1 decimal place.

Answer: 8.7 cm

  1. sin 60° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 60°
  3. ≈ 8.7
2.In a right-angled triangle, the side adjacent to a 32° angle is 20 m. Find the opposite side, to 1 decimal place.

Answer: 12.5 m

  1. tan 32° = opposite ÷ adjacent
  2. opposite = 20 × tan 32°
  3. ≈ 12.5
3.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 24.9 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 59°
  3. ≈ 24.9
4.In a right-angled triangle, the side adjacent to a 44° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 14.5 m

  1. tan 44° = opposite ÷ adjacent
  2. opposite = 15 × tan 44°
  3. ≈ 14.5
5.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 27°. Find the side adjacent to the 27° angle, to 1 decimal place.

Answer: 16.9 cm

  1. cos 27° = adjacent ÷ hypotenuse
  2. adjacent = 19 × cos 27°
  3. ≈ 16.9
6.In a right-angled triangle, the side adjacent to a 29° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 7.8 m

  1. tan 29° = opposite ÷ adjacent
  2. opposite = 14 × tan 29°
  3. ≈ 7.8
7.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.

Answer: 21.8 cm

  1. sin 57° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 57°
  3. ≈ 21.8
8.In a right-angled triangle, the side adjacent to a 62° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 26.3 m

  1. tan 62° = opposite ÷ adjacent
  2. opposite = 14 × tan 62°
  3. ≈ 26.3
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