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

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

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Trigonometry

Year 11 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 8 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 7.5 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 70°
  3. ≈ 7.5
2.In a right-angled triangle, the hypotenuse is 9 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.

Answer: 8.3 cm

  1. sin 68° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 68°
  3. ≈ 8.3
3.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 33°. Find the side opposite the 33° angle, to 1 decimal place.

Answer: 3.8 cm

  1. sin 33° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 33°
  3. ≈ 3.8
4.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 61°. Find the side opposite the 61° angle, to 1 decimal place.

Answer: 25.4 cm

  1. sin 61° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 61°
  3. ≈ 25.4
5.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 11.9 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 48°
  3. ≈ 11.9
6.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 44°. Find the side opposite the 44° angle, to 1 decimal place.

Answer: 20.1 cm

  1. sin 44° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 44°
  3. ≈ 20.1
7.In a right-angled triangle, the hypotenuse is 17 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 12.6 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 48°
  3. ≈ 12.6
8.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 25°. Find the side opposite the 25° angle, to 1 decimal place.

Answer: 7.6 cm

  1. sin 25° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 25°
  3. ≈ 7.6
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