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Year 12 Trigonometry (Finding Sides) Worksheet — Level 1 — 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 1 — 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 13 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 4.4 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 13 × sin 20°
  3. ≈ 4.4
2.In a right-angled triangle, the hypotenuse is 5 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.

Answer: 1.8 cm

  1. sin 21° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 21°
  3. ≈ 1.8
3.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 11.2 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 22°
  3. ≈ 11.2
4.In a right-angled triangle, the hypotenuse is 5 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 2 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 24°
  3. ≈ 2
5.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.

Answer: 5.9 cm

  1. sin 57° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 57°
  3. ≈ 5.9
6.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 50°. Find the side opposite the 50° angle, to 1 decimal place.

Answer: 6.9 cm

  1. sin 50° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 50°
  3. ≈ 6.9
7.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 15.3 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 58°
  3. ≈ 15.3
8.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.

Answer: 26.5 cm

  1. sin 62° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 62°
  3. ≈ 26.5
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