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9th Grade Trigonometry (Finding Sides) Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade trigonometry worksheet.

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9th 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 16 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 6.5 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 16 × sin 24°
  3. ≈ 6.5
2.In a right triangle, the hypotenuse is 23 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 19.7 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 23 × sin 59°
  3. ≈ 19.7
3.In a right triangle, the hypotenuse is 6 cm and one angle is 24°. Find the side opposite the 24° angle, to 1 decimal place.

Answer: 2.4 cm

  1. sin 24° = opposite ÷ hypotenuse
  2. opposite = 6 × sin 24°
  3. ≈ 2.4
4.In a right triangle, the hypotenuse is 14 cm and one angle is 51°. Find the side opposite the 51° angle, to 1 decimal place.

Answer: 10.9 cm

  1. sin 51° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 51°
  3. ≈ 10.9
5.In a right triangle, the hypotenuse is 7 cm and one angle is 52°. Find the side opposite the 52° angle, to 1 decimal place.

Answer: 5.5 cm

  1. sin 52° = opposite ÷ hypotenuse
  2. opposite = 7 × sin 52°
  3. ≈ 5.5
6.In a right triangle, the hypotenuse is 15 cm and one angle is 44°. Find the side opposite the 44° angle, to 1 decimal place.

Answer: 10.4 cm

  1. sin 44° = opposite ÷ hypotenuse
  2. opposite = 15 × sin 44°
  3. ≈ 10.4
7.In a right triangle, the hypotenuse is 21 cm and one angle is 53°. Find the side opposite the 53° angle, to 1 decimal place.

Answer: 16.8 cm

  1. sin 53° = opposite ÷ hypotenuse
  2. opposite = 21 × sin 53°
  3. ≈ 16.8
8.In a right triangle, the hypotenuse is 11 cm and one angle is 26°. Find the side opposite the 26° angle, to 1 decimal place.

Answer: 4.8 cm

  1. sin 26° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 26°
  3. ≈ 4.8
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