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10th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — 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 2 — 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 21 cm and one angle is 59°. Find the side adjacent to the 59° angle, to 1 decimal place.

Answer: 10.8 cm

  1. cos 59° = adjacent ÷ hypotenuse
  2. adjacent = 21 × cos 59°
  3. ≈ 10.8
2.In a right triangle, the side adjacent to a 49° angle is 24 m. Find the opposite side, to 1 decimal place.

Answer: 27.6 m

  1. tan 49° = opposite ÷ adjacent
  2. opposite = 24 × tan 49°
  3. ≈ 27.6
3.In a right triangle, the side adjacent to a 70° angle is 13 m. Find the opposite side, to 1 decimal place.

Answer: 35.7 m

  1. tan 70° = opposite ÷ adjacent
  2. opposite = 13 × tan 70°
  3. ≈ 35.7
4.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
5.In a right triangle, the hypotenuse is 5 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.

Answer: 4.5 cm

  1. sin 65° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 65°
  3. ≈ 4.5
6.In a right triangle, the hypotenuse is 11 cm and one angle is 22°. Find the side adjacent to the 22° angle, to 1 decimal place.

Answer: 10.2 cm

  1. cos 22° = adjacent ÷ hypotenuse
  2. adjacent = 11 × cos 22°
  3. ≈ 10.2
7.In a right triangle, the side adjacent to a 35° angle is 11 m. Find the opposite side, to 1 decimal place.

Answer: 7.7 m

  1. tan 35° = opposite ÷ adjacent
  2. opposite = 11 × tan 35°
  3. ≈ 7.7
8.In a right triangle, the hypotenuse is 29 cm and one angle is 37°. Find the side adjacent to the 37° angle, to 1 decimal place.

Answer: 23.2 cm

  1. cos 37° = adjacent ÷ hypotenuse
  2. adjacent = 29 × cos 37°
  3. ≈ 23.2
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