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

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

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9th Grade 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 triangle, the hypotenuse is 14 cm and one angle is 61°. Find the side adjacent to the 61° angle, to 1 decimal place.

Answer: 6.8 cm

  1. cos 61° = adjacent ÷ hypotenuse
  2. adjacent = 14 × cos 61°
  3. ≈ 6.8
2.In a right triangle, the side adjacent to a 23° angle is 20 m. Find the opposite side, to 1 decimal place.

Answer: 8.5 m

  1. tan 23° = opposite ÷ adjacent
  2. opposite = 20 × tan 23°
  3. ≈ 8.5
3.In a right triangle, the side adjacent to a 49° angle is 9 m. Find the opposite side, to 1 decimal place.

Answer: 10.4 m

  1. tan 49° = opposite ÷ adjacent
  2. opposite = 9 × tan 49°
  3. ≈ 10.4
4.In a right triangle, the hypotenuse is 5 cm and one angle is 31°. Find the side adjacent to the 31° angle, to 1 decimal place.

Answer: 4.3 cm

  1. cos 31° = adjacent ÷ hypotenuse
  2. adjacent = 5 × cos 31°
  3. ≈ 4.3
5.In a right triangle, the hypotenuse is 13 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.

Answer: 10.5 cm

  1. sin 54° = opposite ÷ hypotenuse
  2. opposite = 13 × sin 54°
  3. ≈ 10.5
6.In a right triangle, the side adjacent to a 64° angle is 17 m. Find the opposite side, to 1 decimal place.

Answer: 34.9 m

  1. tan 64° = opposite ÷ adjacent
  2. opposite = 17 × tan 64°
  3. ≈ 34.9
7.In a right triangle, the hypotenuse is 5 cm and one angle is 48°. Find the side adjacent to the 48° angle, to 1 decimal place.

Answer: 3.3 cm

  1. cos 48° = adjacent ÷ hypotenuse
  2. adjacent = 5 × cos 48°
  3. ≈ 3.3
8.In a right triangle, the hypotenuse is 11 cm and one angle is 44°. Find the side opposite the 44° angle, to 1 decimal place.

Answer: 7.6 cm

  1. sin 44° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 44°
  3. ≈ 7.6
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