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

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

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

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

1.In a right triangle, the side adjacent to a 45° angle is 11 m. Find the opposite side, to 1 decimal place.

Answer: 11 m

  1. tan 45° = opposite ÷ adjacent
  2. opposite = 11 × tan 45°
  3. ≈ 11
2.In a right triangle, the side adjacent to a 69° angle is 7 m. Find the opposite side, to 1 decimal place.

Answer: 18.2 m

  1. tan 69° = opposite ÷ adjacent
  2. opposite = 7 × tan 69°
  3. ≈ 18.2
3.In a right triangle, the side adjacent to a 53° angle is 14 m. Find the opposite side, to 1 decimal place.

Answer: 18.6 m

  1. tan 53° = opposite ÷ adjacent
  2. opposite = 14 × tan 53°
  3. ≈ 18.6
4.In a right triangle, the side adjacent to a 31° angle is 7 m. Find the opposite side, to 1 decimal place.

Answer: 4.2 m

  1. tan 31° = opposite ÷ adjacent
  2. opposite = 7 × tan 31°
  3. ≈ 4.2
5.In a right triangle, the hypotenuse is 23 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 21.2 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 23 × sin 67°
  3. ≈ 21.2
6.In a right triangle, the hypotenuse is 14 cm and one angle is 61°. Find the side opposite the 61° angle, to 1 decimal place.

Answer: 12.2 cm

  1. sin 61° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 61°
  3. ≈ 12.2
7.In a right triangle, the side adjacent to a 53° angle is 12 m. Find the opposite side, to 1 decimal place.

Answer: 15.9 m

  1. tan 53° = opposite ÷ adjacent
  2. opposite = 12 × tan 53°
  3. ≈ 15.9
8.In a right triangle, the side adjacent to a 47° angle is 25 m. Find the opposite side, to 1 decimal place.

Answer: 26.8 m

  1. tan 47° = opposite ÷ adjacent
  2. opposite = 25 × tan 47°
  3. ≈ 26.8
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