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

Answer: 19.1 cm

  1. sin 60° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 60°
  3. ≈ 19.1
2.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 6.1 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 24°
  3. ≈ 6.1
3.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 11.1 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 48°
  3. ≈ 11.1
4.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 13.6 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 58°
  3. ≈ 13.6
5.In a right-angled triangle, the hypotenuse is 24 cm and one angle is 43°. Find the side opposite the 43° angle, to 1 decimal place.

Answer: 16.4 cm

  1. sin 43° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 43°
  3. ≈ 16.4
6.In a right-angled triangle, the hypotenuse is 13 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

Answer: 5.9 cm

  1. sin 27° = opposite ÷ hypotenuse
  2. opposite = 13 × sin 27°
  3. ≈ 5.9
7.In a right-angled triangle, the hypotenuse is 24 cm and one angle is 56°. Find the side opposite the 56° angle, to 1 decimal place.

Answer: 19.9 cm

  1. sin 56° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 56°
  3. ≈ 19.9
8.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 26.3 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 70°
  3. ≈ 26.3
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