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10th Grade Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.In a right triangle, the hypotenuse is 8 cm and one angle is 39°. Find the side adjacent to the 39° angle, to 1 decimal place.

Answer: 6.2 cm

  1. cos 39° = adjacent ÷ hypotenuse
  2. adjacent = 8 × cos 39°
  3. ≈ 6.2
2.In a right triangle, the side adjacent to a 22° angle is 9 m. Find the opposite side, to 1 decimal place.

Answer: 3.6 m

  1. tan 22° = opposite ÷ adjacent
  2. opposite = 9 × tan 22°
  3. ≈ 3.6
3.In a right triangle, the side adjacent to a 55° angle is 25 m. Find the opposite side, to 1 decimal place.

Answer: 35.7 m

  1. tan 55° = opposite ÷ adjacent
  2. opposite = 25 × tan 55°
  3. ≈ 35.7
4.In a right triangle, the hypotenuse is 26 cm and one angle is 49°. Find the side adjacent to the 49° angle, to 1 decimal place.

Answer: 17.1 cm

  1. cos 49° = adjacent ÷ hypotenuse
  2. adjacent = 26 × cos 49°
  3. ≈ 17.1
5.In a right triangle, the side adjacent to a 29° angle is 7 m. Find the opposite side, to 1 decimal place.

Answer: 3.9 m

  1. tan 29° = opposite ÷ adjacent
  2. opposite = 7 × tan 29°
  3. ≈ 3.9
6.In a right triangle, the hypotenuse is 25 cm and one angle is 30°. Find the side adjacent to the 30° angle, to 1 decimal place.

Answer: 21.7 cm

  1. cos 30° = adjacent ÷ hypotenuse
  2. adjacent = 25 × cos 30°
  3. ≈ 21.7
7.In a right triangle, the hypotenuse is 13 cm and one angle is 56°. Find the side adjacent to the 56° angle, to 1 decimal place.

Answer: 7.3 cm

  1. cos 56° = adjacent ÷ hypotenuse
  2. adjacent = 13 × cos 56°
  3. ≈ 7.3
8.In a right triangle, the side adjacent to a 44° angle is 25 m. Find the opposite side, to 1 decimal place.

Answer: 24.1 m

  1. tan 44° = opposite ÷ adjacent
  2. opposite = 25 × tan 44°
  3. ≈ 24.1
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