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Year 9 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Trigonometry

Year 9 Trigonometry (Finding Sides) Worksheet — Level 3 — 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 22 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 16.3 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 48°
  3. ≈ 16.3
2.In a right-angled triangle, the side adjacent to a 21° angle is 11 m. Find the opposite side, to 1 decimal place.

Answer: 4.2 m

  1. tan 21° = opposite ÷ adjacent
  2. opposite = 11 × tan 21°
  3. ≈ 4.2
3.In a right-angled triangle, the hypotenuse is 27 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.

Answer: 24.3 cm

  1. sin 64° = opposite ÷ hypotenuse
  2. opposite = 27 × sin 64°
  3. ≈ 24.3
4.In a right-angled triangle, the side adjacent to a 33° angle is 11 m. Find the opposite side, to 1 decimal place.

Answer: 7.1 m

  1. tan 33° = opposite ÷ adjacent
  2. opposite = 11 × tan 33°
  3. ≈ 7.1
5.In a right-angled triangle, the side adjacent to a 63° angle is 25 m. Find the opposite side, to 1 decimal place.

Answer: 49.1 m

  1. tan 63° = opposite ÷ adjacent
  2. opposite = 25 × tan 63°
  3. ≈ 49.1
6.In a right-angled triangle, the hypotenuse is 7 cm and one angle is 28°. Find the side opposite the 28° angle, to 1 decimal place.

Answer: 3.3 cm

  1. sin 28° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 28°
  3. ≈ 3.3
7.In a right-angled triangle, the hypotenuse is 10 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 9.4 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 70°
  3. ≈ 9.4
8.In a right-angled triangle, the side adjacent to a 48° angle is 19 m. Find the opposite side, to 1 decimal place.

Answer: 21.1 m

  1. tan 48° = opposite ÷ adjacent
  2. opposite = 19 × tan 48°
  3. ≈ 21.1
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