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Year 12 Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 12 trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Trigonometry

Year 12 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 side adjacent to a 49° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 16.1 m

  1. tan 49° = opposite ÷ adjacent
  2. opposite = 14 × tan 49°
  3. ≈ 16.1
2.In a right-angled triangle, the side adjacent to a 43° angle is 10 m. Find the opposite side, to 1 decimal place.

Answer: 9.3 m

  1. tan 43° = opposite ÷ adjacent
  2. opposite = 10 × tan 43°
  3. ≈ 9.3
3.In a right-angled triangle, the side adjacent to a 60° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 24.2 m

  1. tan 60° = opposite ÷ adjacent
  2. opposite = 14 × tan 60°
  3. ≈ 24.2
4.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 6.3 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 35°
  3. ≈ 6.3
5.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.

Answer: 24.1 cm

  1. sin 68° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 68°
  3. ≈ 24.1
6.In a right-angled triangle, the side adjacent to a 52° angle is 13 m. Find the opposite side, to 1 decimal place.

Answer: 16.6 m

  1. tan 52° = opposite ÷ adjacent
  2. opposite = 13 × tan 52°
  3. ≈ 16.6
7.In a right-angled triangle, the side adjacent to a 61° angle is 24 m. Find the opposite side, to 1 decimal place.

Answer: 43.3 m

  1. tan 61° = opposite ÷ adjacent
  2. opposite = 24 × tan 61°
  3. ≈ 43.3
8.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 69°. Find the side opposite the 69° angle, to 1 decimal place.

Answer: 6.5 cm

  1. sin 69° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 69°
  3. ≈ 6.5
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