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Year 10 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — 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 4 — 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 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 12 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 53°
  3. ≈ 12
2.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 12 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 21 × sin 35°
  3. ≈ 12
3.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 37°. Find the side opposite the 37° angle, to 1 decimal place.

Answer: 15.6 cm

  1. sin 37° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 37°
  3. ≈ 15.6
4.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 28°. Find the side opposite the 28° angle, to 1 decimal place.

Answer: 4.2 cm

  1. sin 28° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 28°
  3. ≈ 4.2
5.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.

Answer: 8.1 cm

  1. sin 64° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 64°
  3. ≈ 8.1
6.In a right-angled triangle, the hypotenuse is 17 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 9.8 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 35°
  3. ≈ 9.8
7.In a right-angled triangle, the hypotenuse is 19 cm and one angle is 60°. Find the side opposite the 60° angle, to 1 decimal place.

Answer: 16.5 cm

  1. sin 60° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 60°
  3. ≈ 16.5
8.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 18.7 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 21 × sin 63°
  3. ≈ 18.7
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