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

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

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Trigonometry

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

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

1.In a right triangle, the hypotenuse is 17 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 14.6 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 17 × sin 59°
  3. ≈ 14.6
2.In a right triangle, the hypotenuse is 14 cm and one angle is 65°. Find the side opposite the 65° angle, to 1 decimal place.

Answer: 12.7 cm

  1. sin 65° = opposite ÷ hypotenuse
  2. opposite = 14 × sin 65°
  3. ≈ 12.7
3.In a right triangle, the hypotenuse is 11 cm and one angle is 21°. Find the side opposite the 21° angle, to 1 decimal place.

Answer: 3.9 cm

  1. sin 21° = opposite ÷ hypotenuse
  2. opposite = 11 × sin 21°
  3. ≈ 3.9
4.In a right triangle, the hypotenuse is 24 cm and one angle is 48°. Find the side opposite the 48° angle, to 1 decimal place.

Answer: 17.8 cm

  1. sin 48° = opposite ÷ hypotenuse
  2. opposite = 24 × sin 48°
  3. ≈ 17.8
5.In a right triangle, the hypotenuse is 20 cm and one angle is 46°. Find the side opposite the 46° angle, to 1 decimal place.

Answer: 14.4 cm

  1. sin 46° = opposite ÷ hypotenuse
  2. opposite = 20 × sin 46°
  3. ≈ 14.4
6.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
7.In a right triangle, the hypotenuse is 18 cm and one angle is 59°. Find the side opposite the 59° angle, to 1 decimal place.

Answer: 15.4 cm

  1. sin 59° = opposite ÷ hypotenuse
  2. opposite = 18 × sin 59°
  3. ≈ 15.4
8.In a right triangle, the hypotenuse is 29 cm and one angle is 52°. Find the side opposite the 52° angle, to 1 decimal place.

Answer: 22.9 cm

  1. sin 52° = opposite ÷ hypotenuse
  2. opposite = 29 × sin 52°
  3. ≈ 22.9
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