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11th Grade Trigonometry (Finding Sides) Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 11th Grade trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Trigonometry

11th 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 7 cm and one angle is 38°. Find the side adjacent to the 38° angle, to 1 decimal place.

Answer: 5.5 cm

  1. cos 38° = adjacent ÷ hypotenuse
  2. adjacent = 7 × cos 38°
  3. ≈ 5.5
2.In a right triangle, the hypotenuse is 15 cm and one angle is 32°. Find the side opposite the 32° angle, to 1 decimal place.

Answer: 7.9 cm

  1. sin 32° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 32°
  3. ≈ 7.9
3.In a right triangle, the hypotenuse is 23 cm and one angle is 63°. Find the side adjacent to the 63° angle, to 1 decimal place.

Answer: 10.4 cm

  1. cos 63° = adjacent ÷ hypotenuse
  2. adjacent = 23 × cos 63°
  3. ≈ 10.4
4.In a right triangle, the side adjacent to a 45° angle is 21 m. Find the opposite side, to 1 decimal place.

Answer: 21 m

  1. tan 45° = opposite ÷ adjacent
  2. opposite = 21 × tan 45°
  3. ≈ 21
5.In a right triangle, the hypotenuse is 16 cm and one angle is 47°. Find the side opposite the 47° angle, to 1 decimal place.

Answer: 11.7 cm

  1. sin 47° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 47°
  3. ≈ 11.7
6.In a right triangle, the side adjacent to a 35° angle is 15 m. Find the opposite side, to 1 decimal place.

Answer: 10.5 m

  1. tan 35° = opposite ÷ adjacent
  2. opposite = 15 × tan 35°
  3. ≈ 10.5
7.In a right triangle, the hypotenuse is 19 cm and one angle is 31°. Find the side adjacent to the 31° angle, to 1 decimal place.

Answer: 16.3 cm

  1. cos 31° = adjacent ÷ hypotenuse
  2. adjacent = 19 × cos 31°
  3. ≈ 16.3
8.In a right triangle, the hypotenuse is 22 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 8.2 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 22°
  3. ≈ 8.2
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