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

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

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Trigonometry

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

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

1.In a right triangle, the hypotenuse is 7 cm and one angle is 40°. Find the side adjacent to the 40° angle, to 1 decimal place.

Answer: 5.4 cm

  1. cos 40° = adjacent ÷ hypotenuse
  2. adjacent = 7 × cos 40°
  3. ≈ 5.4
2.In a right triangle, the side adjacent to a 52° angle is 16 m. Find the opposite side, to 1 decimal place.

Answer: 20.5 m

  1. tan 52° = opposite ÷ adjacent
  2. opposite = 16 × tan 52°
  3. ≈ 20.5
3.In a right triangle, the hypotenuse is 5 cm and one angle is 70°. Find the side adjacent to the 70° angle, to 1 decimal place.

Answer: 1.7 cm

  1. cos 70° = adjacent ÷ hypotenuse
  2. adjacent = 5 × cos 70°
  3. ≈ 1.7
4.In a right triangle, the side adjacent to a 37° angle is 11 m. Find the opposite side, to 1 decimal place.

Answer: 8.3 m

  1. tan 37° = opposite ÷ adjacent
  2. opposite = 11 × tan 37°
  3. ≈ 8.3
5.In a right triangle, the hypotenuse is 30 cm and one angle is 33°. Find the side adjacent to the 33° angle, to 1 decimal place.

Answer: 25.2 cm

  1. cos 33° = adjacent ÷ hypotenuse
  2. adjacent = 30 × cos 33°
  3. ≈ 25.2
6.In a right triangle, the hypotenuse is 12 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 10.2 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 58°
  3. ≈ 10.2
7.In a right triangle, the hypotenuse is 13 cm and one angle is 23°. Find the side opposite the 23° angle, to 1 decimal place.

Answer: 5.1 cm

  1. sin 23° = opposite ÷ hypotenuse
  2. opposite = 13 × sin 23°
  3. ≈ 5.1
8.In a right triangle, the side adjacent to a 58° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 24 m

  1. tan 58° = opposite ÷ adjacent
  2. opposite = 15 × tan 58°
  3. ≈ 24
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