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9th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 9th Grade trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Trigonometry

9th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Answers

Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.

1.In a right triangle, the hypotenuse is 24 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 22.6 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 70°
  3. ≈ 22.6
2.In a right triangle, the side adjacent to a 68° angle is 7 m. Find the opposite side, to 1 decimal place.

Answer: 17.3 m

  1. tan 68° = opposite ÷ adjacent
  2. opposite = 7 × tan 68°
  3. ≈ 17.3
3.In a right triangle, the hypotenuse is 27 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 24.9 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 27 × sin 67°
  3. ≈ 24.9
4.In a right triangle, the side adjacent to a 59° angle is 16 m. Find the opposite side, to 1 decimal place.

Answer: 26.6 m

  1. tan 59° = opposite ÷ adjacent
  2. opposite = 16 × tan 59°
  3. ≈ 26.6
5.In a right triangle, the hypotenuse is 24 cm and one angle is 33°. Find the side adjacent to the 33° angle, to 1 decimal place.

Answer: 20.1 cm

  1. cos 33° = adjacent ÷ hypotenuse
  2. adjacent = 24 × cos 33°
  3. ≈ 20.1
6.In a right triangle, the side adjacent to a 45° angle is 23 m. Find the opposite side, to 1 decimal place.

Answer: 23 m

  1. tan 45° = opposite ÷ adjacent
  2. opposite = 23 × tan 45°
  3. ≈ 23
7.In a right triangle, the hypotenuse is 10 cm and one angle is 48°. Find the side adjacent to the 48° angle, to 1 decimal place.

Answer: 6.7 cm

  1. cos 48° = adjacent ÷ hypotenuse
  2. adjacent = 10 × cos 48°
  3. ≈ 6.7
8.In a right triangle, the hypotenuse is 17 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 5.8 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 20°
  3. ≈ 5.8
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