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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — 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 1 — 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 17 cm and one angle is 36°. Find the side opposite the 36° angle, to 1 decimal place.

Answer: 10 cm

  1. sin 36° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 36°
  3. ≈ 10
2.In a right triangle, the hypotenuse is 7 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 4 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 35°
  3. ≈ 4
3.In a right triangle, the hypotenuse is 8 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 5.8 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 46°
  3. ≈ 5.8
4.In a right triangle, the hypotenuse is 26 cm and one angle is 51°. Find the side opposite the 51° angle, to 1 decimal place.

Answer: 20.2 cm

  1. sin 51° = opposite ÷ hypotenuse
  2. opposite = 26 × sin 51°
  3. ≈ 20.2
5.In a right triangle, the hypotenuse is 9 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.

Answer: 8.1 cm

  1. sin 64° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 64°
  3. ≈ 8.1
6.In a right triangle, the hypotenuse is 16 cm and one angle is 70°. Find the side opposite the 70° angle, to 1 decimal place.

Answer: 15 cm

  1. sin 70° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 70°
  3. ≈ 15
7.In a right triangle, the hypotenuse is 24 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 21.4 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 63°
  3. ≈ 21.4
8.In a right triangle, the hypotenuse is 30 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 26.7 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 63°
  3. ≈ 26.7
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