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10th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers

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

1.In a right triangle, the hypotenuse is 8 cm and one angle is 50°. Find the side opposite the 50° angle, to 1 decimal place.

Answer: 6.1 cm

  1. sin 50° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 50°
  3. ≈ 6.1
2.In a right triangle, the hypotenuse is 12 cm and one angle is 61°. Find the side opposite the 61° angle, to 1 decimal place.

Answer: 10.5 cm

  1. sin 61° = opposite ÷ hypotenuse
  2. opposite = 12 × sin 61°
  3. ≈ 10.5
3.In a right triangle, the hypotenuse is 7 cm and one angle is 38°. Find the side opposite the 38° angle, to 1 decimal place.

Answer: 4.3 cm

  1. sin 38° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 38°
  3. ≈ 4.3
4.In a right triangle, the hypotenuse is 8 cm and one angle is 55°. Find the side opposite the 55° angle, to 1 decimal place.

Answer: 6.6 cm

  1. sin 55° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 55°
  3. ≈ 6.6
5.In a right triangle, the hypotenuse is 18 cm and one angle is 42°. Find the side opposite the 42° angle, to 1 decimal place.

Answer: 12 cm

  1. sin 42° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 42°
  3. ≈ 12
6.In a right triangle, the hypotenuse is 23 cm and one angle is 30°. Find the side opposite the 30° angle, to 1 decimal place.

Answer: 11.5 cm

  1. sin 30° = opposite ÷ hypotenuse
  2. opposite = 23 × sin 30°
  3. ≈ 11.5
7.In a right triangle, the hypotenuse is 18 cm and one angle is 41°. Find the side opposite the 41° angle, to 1 decimal place.

Answer: 11.8 cm

  1. sin 41° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 41°
  3. ≈ 11.8
8.In a right triangle, the hypotenuse is 7 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.

Answer: 6.3 cm

  1. sin 65° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 65°
  3. ≈ 6.3
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