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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 3 — Answers

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11th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 3 — Answers

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

1.In a right triangle, the hypotenuse is 10 cm and one angle is 56°. Find the side opposite the 56° angle, to 1 decimal place.

Answer: 8.3 cm

  1. sin 56° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 56°
  3. ≈ 8.3
2.In a right triangle, the hypotenuse is 17 cm and one angle is 64°. Find the side opposite the 64° angle, to 1 decimal place.

Answer: 15.3 cm

  1. sin 64° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 64°
  3. ≈ 15.3
3.In a right triangle, the hypotenuse is 8 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 5.9 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 48°
  3. ≈ 5.9
4.In a right triangle, the hypotenuse is 9 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.

Answer: 8.3 cm

  1. sin 68° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 68°
  3. ≈ 8.3
5.In a right triangle, the hypotenuse is 6 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 5.1 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 6 × sin 59°
  3. ≈ 5.1
6.In a right triangle, the hypotenuse is 17 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 15.1 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 63°
  3. ≈ 15.1
7.In a right triangle, the hypotenuse is 13 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.

Answer: 4.7 cm

  1. sin 21° = opposite ÷ hypotenuse
  2. opposite = 13 × sin 21°
  3. ≈ 4.7
8.In a right triangle, the hypotenuse is 7 cm and one angle is 40°. Find the side opposite the 40° angle, to 1 decimal place.

Answer: 4.5 cm

  1. sin 40° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 40°
  3. ≈ 4.5
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