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

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

1.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 61°. Find the side opposite the 61° angle, to 1 decimal place.

Answer: 15.7 cm

  1. sin 61° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 61°
  3. ≈ 15.7
2.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
3.In a right-angled triangle, the side adjacent to a 37° angle is 8 m. Find the opposite side, to 1 decimal place.

Answer: 6 m

  1. tan 37° = opposite ÷ adjacent
  2. opposite = 8 × tan 37°
  3. ≈ 6
4.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 24°. Find the side adjacent to the 24° angle, to 1 decimal place.

Answer: 8.2 cm

  1. cos 24° = adjacent ÷ hypotenuse
  2. adjacent = 9 × cos 24°
  3. ≈ 8.2
5.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 38°. Find the side adjacent to the 38° angle, to 1 decimal place.

Answer: 17.3 cm

  1. cos 38° = adjacent ÷ hypotenuse
  2. adjacent = 22 × cos 38°
  3. ≈ 17.3
6.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 66°. Find the side adjacent to the 66° angle, to 1 decimal place.

Answer: 11.8 cm

  1. cos 66° = adjacent ÷ hypotenuse
  2. adjacent = 29 × cos 66°
  3. ≈ 11.8
7.In a right-angled triangle, the side adjacent to a 23° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 5.9 m

  1. tan 23° = opposite ÷ adjacent
  2. opposite = 14 × tan 23°
  3. ≈ 5.9
8.In a right-angled triangle, the side adjacent to a 50° angle is 4 m. Find the opposite side, to 1 decimal place.

Answer: 4.8 m

  1. tan 50° = opposite ÷ adjacent
  2. opposite = 4 × tan 50°
  3. ≈ 4.8
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