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Year 9 Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers

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

1.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

Answer: 8.6 cm

  1. sin 27° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 27°
  3. ≈ 8.6
2.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.

Answer: 12.4 cm

  1. sin 62° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 62°
  3. ≈ 12.4
3.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 28°. Find the side adjacent to the 28° angle, to 1 decimal place.

Answer: 18.5 cm

  1. cos 28° = adjacent ÷ hypotenuse
  2. adjacent = 21 × cos 28°
  3. ≈ 18.5
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 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 7.7 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 24°
  3. ≈ 7.7
6.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 62°. Find the side adjacent to the 62° angle, to 1 decimal place.

Answer: 5.2 cm

  1. cos 62° = adjacent ÷ hypotenuse
  2. adjacent = 11 × cos 62°
  3. ≈ 5.2
7.In a right-angled triangle, the side adjacent to a 38° angle is 13 m. Find the opposite side, to 1 decimal place.

Answer: 10.2 m

  1. tan 38° = opposite ÷ adjacent
  2. opposite = 13 × tan 38°
  3. ≈ 10.2
8.In a right-angled triangle, the side adjacent to a 60° angle is 12 m. Find the opposite side, to 1 decimal place.

Answer: 20.8 m

  1. tan 60° = opposite ÷ adjacent
  2. opposite = 12 × tan 60°
  3. ≈ 20.8
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