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Year 10 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 trigonometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Trigonometry

Year 10 Trigonometry (Finding Sides) Worksheet — Level 3 — Practice Set 2 — Answers

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

1.In a right-angled triangle, the side adjacent to a 52° angle is 9 m. Find the opposite side, to 1 decimal place.

Answer: 11.5 m

  1. tan 52° = opposite ÷ adjacent
  2. opposite = 9 × tan 52°
  3. ≈ 11.5
2.In a right-angled triangle, the side adjacent to a 54° angle is 21 m. Find the opposite side, to 1 decimal place.

Answer: 28.9 m

  1. tan 54° = opposite ÷ adjacent
  2. opposite = 21 × tan 54°
  3. ≈ 28.9
3.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 62°. Find the side adjacent to the 62° angle, to 1 decimal place.

Answer: 10.3 cm

  1. cos 62° = adjacent ÷ hypotenuse
  2. adjacent = 22 × cos 62°
  3. ≈ 10.3
4.In a right-angled triangle, the hypotenuse is 23 cm and one angle is 37°. Find the side adjacent to the 37° angle, to 1 decimal place.

Answer: 18.4 cm

  1. cos 37° = adjacent ÷ hypotenuse
  2. adjacent = 23 × cos 37°
  3. ≈ 18.4
5.In a right-angled triangle, the hypotenuse is 30 cm and one angle is 36°. Find the side opposite the 36° angle, to 1 decimal place.

Answer: 17.6 cm

  1. sin 36° = opposite ÷ hypotenuse
  2. opposite = 30 × sin 36°
  3. ≈ 17.6
6.In a right-angled triangle, the side adjacent to a 68° angle is 17 m. Find the opposite side, to 1 decimal place.

Answer: 42.1 m

  1. tan 68° = opposite ÷ adjacent
  2. opposite = 17 × tan 68°
  3. ≈ 42.1
7.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 49°. Find the side adjacent to the 49° angle, to 1 decimal place.

Answer: 9.8 cm

  1. cos 49° = adjacent ÷ hypotenuse
  2. adjacent = 15 × cos 49°
  3. ≈ 9.8
8.In a right-angled triangle, the hypotenuse is 21 cm and one angle is 30°. Find the side adjacent to the 30° angle, to 1 decimal place.

Answer: 18.2 cm

  1. cos 30° = adjacent ÷ hypotenuse
  2. adjacent = 21 × cos 30°
  3. ≈ 18.2
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