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10th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers

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

1.In a right triangle, the hypotenuse is 19 cm and one angle is 20°. Find the side opposite the 20° angle, to 1 decimal place.

Answer: 6.5 cm

  1. sin 20° = opposite ÷ hypotenuse
  2. opposite = 19 × sin 20°
  3. ≈ 6.5
2.In a right triangle, the hypotenuse is 18 cm and one angle is 58°. Find the side opposite the 58° angle, to 1 decimal place.

Answer: 15.3 cm

  1. sin 58° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 58°
  3. ≈ 15.3
3.In a right triangle, the hypotenuse is 30 cm and one angle is 23°. Find the side opposite the 23° angle, to 1 decimal place.

Answer: 11.7 cm

  1. sin 23° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 23°
  3. ≈ 11.7
4.In a right triangle, the hypotenuse is 17 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 12.2 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 46°
  3. ≈ 12.2
5.In a right triangle, the hypotenuse is 8 cm and one angle is 63°. Find the side opposite the 63° angle, to 1 decimal place.

Answer: 7.1 cm

  1. sin 63° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 63°
  3. ≈ 7.1
6.In a right triangle, the hypotenuse is 20 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 17.1 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 59°
  3. ≈ 17.1
7.In a right triangle, the hypotenuse is 20 cm and one angle is 35°. Find the side opposite the 35° angle, to 1 decimal place.

Answer: 11.5 cm

  1. sin 35° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 35°
  3. ≈ 11.5
8.In a right triangle, the hypotenuse is 8 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 6.4 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 8 × sin 53°
  3. ≈ 6.4
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