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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 8 cm and one angle is 32°. Find the side opposite the 32° angle, to 1 decimal place.

Answer: 4.2 cm

  1. sin 32° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 32°
  3. ≈ 4.2
2.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 38°. Find the side opposite the 38° angle, to 1 decimal place.

Answer: 9.2 cm

  1. sin 38° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 38°
  3. ≈ 9.2
3.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 25°. Find the side opposite the 25° angle, to 1 decimal place.

Answer: 3 cm

  1. sin 25° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 25°
  3. ≈ 3
4.In a right-angled triangle, the hypotenuse is 12 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.

Answer: 10.6 cm

  1. sin 62° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 62°
  3. ≈ 10.6
5.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.

Answer: 12.1 cm

  1. sin 54° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 54°
  3. ≈ 12.1
6.In a right-angled triangle, the hypotenuse is 5 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.

Answer: 4.5 cm

  1. sin 65° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 65°
  3. ≈ 4.5
7.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 52°. Find the side opposite the 52° angle, to 1 decimal place.

Answer: 20.5 cm

  1. sin 52° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 52°
  3. ≈ 20.5
8.In a right-angled triangle, the hypotenuse is 5 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 4 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 53°
  3. ≈ 4
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