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10th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 10th Grade trigonometry worksheet.

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10th 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 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
2.In a right triangle, the hypotenuse is 12 cm and one angle is 49°. Find the side opposite the 49° angle, to 1 decimal place.

Answer: 9.1 cm

  1. sin 49° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 49°
  3. ≈ 9.1
3.In a right triangle, the hypotenuse is 12 cm and one angle is 67°. Find the side opposite the 67° angle, to 1 decimal place.

Answer: 11 cm

  1. sin 67° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 67°
  3. ≈ 11
4.In a right triangle, the hypotenuse is 10 cm and one angle is 61°. Find the side opposite the 61° angle, to 1 decimal place.

Answer: 8.7 cm

  1. sin 61° = opposite ÷ hypotenuse
  2. opposite = 10 × sin 61°
  3. ≈ 8.7
5.In a right triangle, the hypotenuse is 9 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 7.6 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 9 × sin 58°
  3. ≈ 7.6
6.In a right triangle, the hypotenuse is 11 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.

Answer: 10 cm

  1. sin 65° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 65°
  3. ≈ 10
7.In a right triangle, the hypotenuse is 27 cm and one angle is 60°. Find the side opposite the 60° angle, to 1 decimal place.

Answer: 23.4 cm

  1. sin 60° = opposite ÷ hypotenuse
  2. opposite = 27 × sin 60°
  3. ≈ 23.4
8.In a right triangle, the hypotenuse is 24 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 20.6 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 59°
  3. ≈ 20.6
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