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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — Answers

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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — Answers

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

1.In a right triangle, the hypotenuse is 20 cm and one angle is 26°. Find the side opposite the 26° angle, to 1 decimal place.

Answer: 8.8 cm

  1. sin 26° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 26°
  3. ≈ 8.8
2.In a right triangle, the hypotenuse is 24 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.

Answer: 22.3 cm

  1. sin 68° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 68°
  3. ≈ 22.3
3.In a right triangle, the hypotenuse is 21 cm and one angle is 69°. Find the side opposite the 69° angle, to 1 decimal place.

Answer: 19.6 cm

  1. sin 69° = opposite ÷ hypotenuse
  2. opposite = 21 × sin 69°
  3. ≈ 19.6
4.In a right triangle, the hypotenuse is 10 cm and one angle is 43°. Find the side opposite the 43° angle, to 1 decimal place.

Answer: 6.8 cm

  1. sin 43° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 43°
  3. ≈ 6.8
5.In a right triangle, the hypotenuse is 22 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.

Answer: 17.8 cm

  1. sin 54° = opposite ÷ hypotenuse
  2. opposite = 22 × sin 54°
  3. ≈ 17.8
6.In a right triangle, the hypotenuse is 15 cm and one angle is 40°. Find the side opposite the 40° angle, to 1 decimal place.

Answer: 9.6 cm

  1. sin 40° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 40°
  3. ≈ 9.6
7.In a right triangle, the hypotenuse is 24 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 8.2 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 20°
  3. ≈ 8.2
8.In a right triangle, the hypotenuse is 14 cm and one angle is 41°. Find the side opposite the 41° angle, to 1 decimal place.

Answer: 9.2 cm

  1. sin 41° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 41°
  3. ≈ 9.2
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