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

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

1.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 36°. Find the side opposite the 36° angle, to 1 decimal place.

Answer: 8.8 cm

  1. sin 36° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 36°
  3. ≈ 8.8
2.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 10.9 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 35°
  3. ≈ 10.9
3.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 14.1 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 48°
  3. ≈ 14.1
4.In a right-angled triangle, the hypotenuse is 27 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 20.1 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 27 × sin 48°
  3. ≈ 20.1
5.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 25°. Find the side opposite the 25° angle, to 1 decimal place.

Answer: 12.7 cm

  1. sin 25° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 25°
  3. ≈ 12.7
6.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 57°. Find the side opposite the 57° angle, to 1 decimal place.

Answer: 7.5 cm

  1. sin 57° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 57°
  3. ≈ 7.5
7.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 20.7 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 70°
  3. ≈ 20.7
8.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 16.1 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 35°
  3. ≈ 16.1
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