Grade 10 SOHCAHTOA Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 SOHCAHTOA Practice
Solve each problem. Show your work.
- 1.In a right triangle, the hypotenuse is 15 cm and one acute angle is 41°. Find the opposite side. Round sides to 1 decimal place.
- 2.In a right triangle, the hypotenuse is 13 cm and one acute angle is 40°. Find the adjacent side. Round sides to 1 decimal place.
- 3.In a right triangle, the hypotenuse is 8 cm and one acute angle is 44°. Find the opposite side. Round sides to 1 decimal place.
- 4.In a right triangle, the hypotenuse is 10 cm and one acute angle is 69°. Find the opposite side. Round sides to 1 decimal place.
- 5.In a right triangle, the hypotenuse is 11 cm and one acute angle is 67°. Find the adjacent side. Round sides to 1 decimal place.
- 6.In a right triangle, the hypotenuse is 9 cm and one acute angle is 32°. Find the opposite side. Round sides to 1 decimal place.
- 7.In a right triangle, the hypotenuse is 18 cm and one acute angle is 35°. Find the adjacent side. Round sides to 1 decimal place.
- 8.In a right triangle, the hypotenuse is 10 cm and one acute angle is 58°. Find the adjacent side. Round sides to 1 decimal place.
Show answer key
- Question 1: 9.8 cm
- Question 2: 10 cm
- Question 3: 5.6 cm
- Question 4: 9.3 cm
- Question 5: 4.3 cm
- Question 6: 4.8 cm
- Question 7: 14.7 cm
- Question 8: 5.3 cm
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About These Worksheets
Grade 10 students use SOHCAHTOA as their first formal tool for solving right-triangle trigonometry problems.
SOHCAHTOA worksheets help Grade 10 students choose the correct trigonometric ratio in right triangles. The acronym connects sine, cosine, and tangent to opposite, adjacent, and hypotenuse sides, but students still need practice identifying those sides relative to the marked angle. A correct ratio setup is usually the hardest part of the question.
These worksheets include solving for missing sides, solving for missing angles with inverse trig, and interpreting diagrams in measurement contexts. Students practise labelling the triangle first, choosing sine, cosine, or tangent, substituting values, and rounding appropriately. SOHCAHTOA is the foundation for indirect measurement, angles of elevation and depression, and more advanced trigonometry. Strong setup habits here prevent calculator errors and formula confusion later.
Skills Practised
- Labelling opposite, adjacent, and hypotenuse
- Choosing sine, cosine, or tangent
- Solving for missing side lengths
- Using inverse trig to find angles
- Rounding answers with appropriate units
Parent Tip: If you cannot check the trig yourself, use the answer key and ask your teen to show the ratio they set up. A photo check is especially useful for side labelling errors.