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Year 11 Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 11 trigonometry worksheet.

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Year 11 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 9 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.

Answer: 5.7 cm

  1. sin 39° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 39°
  3. ≈ 5.7
2.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 41°. Find the side opposite the 41° angle, to 1 decimal place.

Answer: 19.7 cm

  1. sin 41° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 41°
  3. ≈ 19.7
3.In a right-angled triangle, the hypotenuse is 17 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 15.6 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 67°
  3. ≈ 15.6
4.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 14.7 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 67°
  3. ≈ 14.7
5.In a right-angled triangle, the hypotenuse is 17 cm and one angle is 69°. Find the side opposite the 69° angle, to 1 decimal place.

Answer: 15.9 cm

  1. sin 69° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 69°
  3. ≈ 15.9
6.In a right-angled triangle, the hypotenuse is 24 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 22.1 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 67°
  3. ≈ 22.1
7.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 40°. Find the side opposite the 40° angle, to 1 decimal place.

Answer: 4.5 cm

  1. sin 40° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 40°
  3. ≈ 4.5
8.In a right-angled triangle, the hypotenuse is 10 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 5.7 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 35°
  3. ≈ 5.7
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