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10th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade trigonometry worksheet.

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10th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 4 — 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 68° angle is 18 m. Find the opposite side, to 1 decimal place.

Answer: 44.6 m

  1. tan 68° = opposite ÷ adjacent
  2. opposite = 18 × tan 68°
  3. ≈ 44.6
2.In a right triangle, the hypotenuse is 29 cm and one angle is 38°. Find the side opposite the 38° angle, to 1 decimal place.

Answer: 17.9 cm

  1. sin 38° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 38°
  3. ≈ 17.9
3.In a right triangle, the hypotenuse is 9 cm and one angle is 62°. Find the side adjacent to the 62° angle, to 1 decimal place.

Answer: 4.2 cm

  1. cos 62° = adjacent ÷ hypotenuse
  2. adjacent = 9 × cos 62°
  3. ≈ 4.2
4.In a right triangle, the side adjacent to a 44° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 14.5 m

  1. tan 44° = opposite ÷ adjacent
  2. opposite = 15 × tan 44°
  3. ≈ 14.5
5.In a right triangle, the hypotenuse is 24 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 9 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 22°
  3. ≈ 9
6.In a right triangle, the hypotenuse is 11 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.

Answer: 5 cm

  1. sin 27° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 27°
  3. ≈ 5
7.In a right triangle, the side adjacent to a 47° angle is 4 m. Find the opposite side, to 1 decimal place.

Answer: 4.3 m

  1. tan 47° = opposite ÷ adjacent
  2. opposite = 4 × tan 47°
  3. ≈ 4.3
8.In a right triangle, the side adjacent to a 24° angle is 23 m. Find the opposite side, to 1 decimal place.

Answer: 10.2 m

  1. tan 24° = opposite ÷ adjacent
  2. opposite = 23 × tan 24°
  3. ≈ 10.2
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