Discia GCSE Maths › Geometry & Measures › SOHCAHTOA (Trigonometry)

SOHCAHTOA (Trigonometry) worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 34 marks Sheet 1
Generate a different sheet
  1. 3 marks

    The diagram shows a right-angled triangle.

    Right-angled triangle with the hypotenuse and one angle given8 cmx cm40°Diagram NOT accurately drawn

    Calculate the length of the side marked \(x\).

    Give your answer to 1 decimal place.

  2. 4 marks

    Here is a right-angled triangle.

    Right-angled triangle with the two shorter sides given5 cm4 cmxDiagram NOT accurately drawn

    Give your answers correct to 1 decimal place.

    (a)

    Work out the size of the angle marked \(x\).

    (b)

    Work out the size of the third angle of the triangle.

  3. 3 marks

    Here is a right-angled triangle.

    Right-angled triangle with one angle and the adjacent side given16 cmx cm50°Diagram NOT accurately drawn

    Find the length of the side marked \(x\).

    Give your answer to 1 decimal place.

  4. 3 marks

    Here is a right-angled triangle.

    Right-angled triangle containing a 30 degree and a 60 degree angle8 cmx cm60°

    Work out the exact length of the side marked \(x\).

  5. 4 marks

    Idris measures the ramp in a playground. It is \(14\) m long and meets the level ground at an angle of \(34^\circ\).

    Sloping line meeting horizontal ground at a marked angle14 m34°Diagram NOT accurately drawn

    Give your answers correct to 1 decimal place.

    (a)

    Calculate the vertical height of the top of the ramp above the ground.

    (b)

    Calculate the horizontal distance covered by the ramp.

  6. 3 marks

    The diagram shows a right-angled triangle.

    Right-angled triangle with the hypotenuse and one angle given15 cmx cm58°Diagram NOT accurately drawn

    Work out the length of the side marked \(x\).

    Give your answer correct to 1 decimal place.

  7. 4 marks

    Here is a right-angled triangle.

    Right-angled triangle with the two shorter sides given6 cm5 cmxDiagram NOT accurately drawn

    Give your answers correct to 1 decimal place.

    (a)

    Calculate the size of the angle marked \(x\).

    (b)

    Calculate the size of the third angle of the triangle.

  8. 3 marks

    The diagram shows a right-angled triangle.

    Right-angled triangle with one angle and the adjacent side given11 cmx cm45°Diagram NOT accurately drawn

    Work out the length of the side marked \(x\).

    Give your answer correct to 1 decimal place.

  9. 3 marks

    Here is a right-angled triangle.

    Right-angled triangle containing a 30 degree and a 60 degree angle28 cmx cm60°

    Calculate the exact length of the side marked \(x\).

  10. 4 marks

    Idris measures the ramp in a playground. It is \(16\) m long and meets the level ground at an angle of \(34^\circ\).

    Sloping line meeting horizontal ground at a marked angle16 m34°Diagram NOT accurately drawn

    Give your answers correct to 1 decimal place.

    (a)

    Find the vertical height of the top of the ramp above the ground.

    (b)

    Find the horizontal distance covered by the ramp.

Answers

  1. \(5.1\ \text{cm}\)
  2. (a) \(38.7^\circ\)
    (b) \(51.3^\circ\)
  3. \(24.9\ \text{cm}\)
  4. \(4\ \text{cm}\)
  5. (a) \(7.8\ \text{m}\)
    (b) \(11.6\ \text{m}\)
  6. \(12.7\ \text{cm}\)
  7. (a) \(39.8^\circ\)
    (b) \(50.2^\circ\)
  8. \(15.6\ \text{cm}\)
  9. \(14\ \text{cm}\)
  10. (a) \(8.9\ \text{m}\)
    (b) \(13.3\ \text{m}\)

← All GCSE maths worksheets

{# Self-hosted. The public pages make no third-party request at all — see docs/PUBLIC_LAUNCH_HANDOFF.md before pointing this at a CDN again. #}