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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — 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 1 — Answers

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

1.In a right triangle, the hypotenuse is 26 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 10.6 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 24°
  3. ≈ 10.6
2.In a right triangle, the hypotenuse is 6 cm and one angle is 22°. Find the side opposite the 22° angle, to 1 decimal place.

Answer: 2.2 cm

  1. sin 22° = opposite ÷ hypotenuse
  2. opposite = 6 × sin 22°
  3. ≈ 2.2
3.In a right triangle, the hypotenuse is 16 cm and one angle is 41°. Find the side opposite the 41° angle, to 1 decimal place.

Answer: 10.5 cm

  1. sin 41° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 41°
  3. ≈ 10.5
4.In a right triangle, the hypotenuse is 12 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 9.6 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 53°
  3. ≈ 9.6
5.In a right triangle, the hypotenuse is 5 cm and one angle is 31°. Find the side opposite the 31° angle, to 1 decimal place.

Answer: 2.6 cm

  1. sin 31° = opposite ÷ hypotenuse
  2. opposite = 5 × sin 31°
  3. ≈ 2.6
6.In a right triangle, the hypotenuse is 28 cm and one angle is 32°. Find the side opposite the 32° angle, to 1 decimal place.

Answer: 14.8 cm

  1. sin 32° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 32°
  3. ≈ 14.8
7.In a right triangle, the hypotenuse is 28 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.

Answer: 24.7 cm

  1. sin 62° = opposite ÷ hypotenuse
  2. opposite = 28 × sin 62°
  3. ≈ 24.7
8.In a right triangle, the hypotenuse is 8 cm and one angle is 34°. Find the side opposite the 34° angle, to 1 decimal place.

Answer: 4.5 cm

  1. sin 34° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 34°
  3. ≈ 4.5
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