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

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

1.In a right-angled triangle, the side adjacent to a 34° angle is 16 m. Find the opposite side, to 1 decimal place.

Answer: 10.8 m

  1. tan 34° = opposite ÷ adjacent
  2. opposite = 16 × tan 34°
  3. ≈ 10.8
2.In a right-angled triangle, the side adjacent to a 60° angle is 9 m. Find the opposite side, to 1 decimal place.

Answer: 15.6 m

  1. tan 60° = opposite ÷ adjacent
  2. opposite = 9 × tan 60°
  3. ≈ 15.6
3.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

Answer: 13.2 cm

  1. sin 27° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 27°
  3. ≈ 13.2
4.In a right-angled triangle, the side adjacent to a 65° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 30 m

  1. tan 65° = opposite ÷ adjacent
  2. opposite = 14 × tan 65°
  3. ≈ 30
5.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 30°. Find the side adjacent to the 30° angle, to 1 decimal place.

Answer: 6.9 cm

  1. cos 30° = adjacent ÷ hypotenuse
  2. adjacent = 8 × cos 30°
  3. ≈ 6.9
6.In a right-angled triangle, the side adjacent to a 34° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 10.1 m

  1. tan 34° = opposite ÷ adjacent
  2. opposite = 15 × tan 34°
  3. ≈ 10.1
7.In a right-angled triangle, the side adjacent to a 35° angle is 4 m. Find the opposite side, to 1 decimal place.

Answer: 2.8 m

  1. tan 35° = opposite ÷ adjacent
  2. opposite = 4 × tan 35°
  3. ≈ 2.8
8.In a right-angled triangle, the side adjacent to a 21° angle is 22 m. Find the opposite side, to 1 decimal place.

Answer: 8.4 m

  1. tan 21° = opposite ÷ adjacent
  2. opposite = 22 × tan 21°
  3. ≈ 8.4
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