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Year 11 Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 2 — 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 2 — 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 26 cm and one angle is 69°. Find the side adjacent to the 69° angle, to 1 decimal place.

Answer: 9.3 cm

  1. cos 69° = adjacent ÷ hypotenuse
  2. adjacent = 26 × cos 69°
  3. ≈ 9.3
2.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 40°. Find the side opposite the 40° angle, to 1 decimal place.

Answer: 9 cm

  1. sin 40° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 40°
  3. ≈ 9
3.In a right-angled triangle, the hypotenuse is 29 cm and one angle is 47°. Find the side adjacent to the 47° angle, to 1 decimal place.

Answer: 19.8 cm

  1. cos 47° = adjacent ÷ hypotenuse
  2. adjacent = 29 × cos 47°
  3. ≈ 19.8
4.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 60°. Find the side adjacent to the 60° angle, to 1 decimal place.

Answer: 9 cm

  1. cos 60° = adjacent ÷ hypotenuse
  2. adjacent = 18 × cos 60°
  3. ≈ 9
5.In a right-angled triangle, the hypotenuse is 28 cm and one angle is 66°. Find the side adjacent to the 66° angle, to 1 decimal place.

Answer: 11.4 cm

  1. cos 66° = adjacent ÷ hypotenuse
  2. adjacent = 28 × cos 66°
  3. ≈ 11.4
6.In a right-angled triangle, the side adjacent to a 41° angle is 9 m. Find the opposite side, to 1 decimal place.

Answer: 7.8 m

  1. tan 41° = opposite ÷ adjacent
  2. opposite = 9 × tan 41°
  3. ≈ 7.8
7.In a right-angled triangle, the hypotenuse is 20 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 17.8 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 63°
  3. ≈ 17.8
8.In a right-angled triangle, the side adjacent to a 35° angle is 10 m. Find the opposite side, to 1 decimal place.

Answer: 7 m

  1. tan 35° = opposite ÷ adjacent
  2. opposite = 10 × tan 35°
  3. ≈ 7
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