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Grade 10–11Common Core (CCSS) · Math: algebra

Math · Grade 10

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Trigonometry in right triangles · Grade 10

Name: ____________________

Worked example

  1. sin v = opposite/hypotenuse, cos v = adjacent/hypotenuse.
  2. Multiply the hypotenuse by sin v or cos v.
  3. Example: 10 · sin 30° = 5 cm.
Example: how to solve it
1.

Find the opposite side: hypotenuse 20 cm, angle 45° (1 decimal)

2.

A ramp model is shaped like a right triangle. Find the opposite side: hypotenuse 50 cm, angle 30° (1 decimal) Answer with the correct unit.

3.

Find the opposite side: hypotenuse 10 cm, angle 60° (1 decimal)

4.

A bracket is shaped like a right triangle. Find the adjacent side: hypotenuse 50 cm, angle 45° (1 decimal) Answer with the correct unit.

5.

Find the adjacent side: hypotenuse 20 cm, angle 45° (1 decimal)

6.

A support is shaped like a right triangle. Find the opposite side: hypotenuse 20 cm, angle 45° (1 decimal) Answer with the correct unit.

7.

Find the opposite side: hypotenuse 50 cm, angle 30° (1 decimal)

8.

A roof model is shaped like a right triangle. Find the adjacent side: hypotenuse 10 cm, angle 30° (1 decimal) Answer with the correct unit.

9.

Find the adjacent side: hypotenuse 20 cm, angle 30° (1 decimal)

10.

A support is shaped like a right triangle. Find the adjacent side: hypotenuse 50 cm, angle 60° (1 decimal) Answer with the correct unit.

11.

Find the opposite side: hypotenuse 10 cm, angle 30° (1 decimal)

12.

A ramp model is shaped like a right triangle. Find the adjacent side: hypotenuse 50 cm, angle 45° (1 decimal) Answer with the correct unit.

13.

Find the opposite side: hypotenuse 20 cm, angle 30° (1 decimal)

14.

A roof model is shaped like a right triangle. Find the adjacent side: hypotenuse 20 cm, angle 60° (1 decimal) Answer with the correct unit.

15.

Find the opposite side: hypotenuse 50 cm, angle 45° (1 decimal)

16.

A bracket is shaped like a right triangle. Find the adjacent side: hypotenuse 20 cm, angle 45° (1 decimal) Answer with the correct unit.

17.

Find the adjacent side: hypotenuse 50 cm, angle 60° (1 decimal)

18.

A bracket is shaped like a right triangle. Find the opposite side: hypotenuse 50 cm, angle 45° (1 decimal) Answer with the correct unit.

19.

Find the opposite side: hypotenuse 10 cm, angle 45° (1 decimal)

20.

A roof model is shaped like a right triangle. Find the opposite side: hypotenuse 10 cm, angle 60° (1 decimal) Answer with the correct unit.

Answer key

  1. 1. 14.1 cm
  2. 2. 25 cm
  3. 3. 8.7 cm
  4. 4. 35.4 cm
  5. 5. 14.1 cm
  6. 6. 14.1 cm
  7. 7. 25 cm
  8. 8. 8.7 cm
  9. 9. 17.3 cm
  10. 10. 25 cm
  11. 11. 5 cm
  12. 12. 35.4 cm
  13. 13. 10 cm
  14. 14. 10 cm
  15. 15. 35.4 cm
  16. 16. 14.1 cm
  17. 17. 25 cm
  18. 18. 35.4 cm
  19. 19. 7.1 cm
  20. 20. 8.7 cm

Created with WorksheetMint

Step 1 of 5

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Area
Geometry
Exercise type
Trigonometry in right triangles
Grade
10 (ages 15–16)
Difficulty
Easy
Number of tasks
20
Task format
Mixed
Paper size
US Letter
1. Choose content
Area
More options

Practise sin, cos and inverse sine in right triangles.

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  3. “Create new version” gives new numbers.

About this generator

Opposite = hypotenuse · sin v, adjacent = hypotenuse · cos v. Hard also asks for the angle from two sides. The answer key is calculated by the website. No sign-up needed.

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