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Year 10 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Trigonometry

Year 10 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 30 cm and one angle is 60°. Find the side opposite the 60° angle, to 1 decimal place.

Answer: 26 cm

  1. sin 60° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 60°
  3. ≈ 26
2.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 4.8 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 20°
  3. ≈ 4.8
3.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 26.7 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 63°
  3. ≈ 26.7
4.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 55°. Find the side opposite the 55° angle, to 1 decimal place.

Answer: 22.9 cm

  1. sin 55° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 55°
  3. ≈ 22.9
5.In a right-angled triangle, the hypotenuse is 10 cm and one angle is 47°. Find the side opposite the 47° angle, to 1 decimal place.

Answer: 7.3 cm

  1. sin 47° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 47°
  3. ≈ 7.3
6.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.

Answer: 23 cm

  1. sin 62° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 62°
  3. ≈ 23
7.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 29°. Find the side opposite the 29° angle, to 1 decimal place.

Answer: 13.6 cm

  1. sin 29° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 29°
  3. ≈ 13.6
8.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 40°. Find the side opposite the 40° angle, to 1 decimal place.

Answer: 11.6 cm

  1. sin 40° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 40°
  3. ≈ 11.6
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