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180
South is a half turn clockwise from north.
O Level · English Medium · Cambridge · Mathematics
Geometry, measurement and trigonometry readiness
Combine bearings, trigonometry and geometric reasoning.
About this lesson and its coverage
Original Kidemy O Level progression. This level has its own text, examples and questions. Curriculum versions share the progression; complete board-specific coverage still needs specification matching and additional material.
Learn the idea
Bearings are measured clockwise from north using three digits. A right-triangle ratio requires a right angle. Similar shapes and circle theorems require correspondence conditions; a diagram’s appearance is not proof.
Worked example
Due east has bearing 090°. In a right triangle, tanθ=opposite/adjacent. Opposite3 and adjacent 4 give tanθ=0.75.
- Identify the quantities and restrictions.
- Show a method with units or symbols.
- Check and explain the result.
Your written practice
Show your working on paper. Check your answer, then choose Next.
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5/12
tanθ=opposite/adjacent.
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64
4³.
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240°, because the reverse direction differs by 180°.
Use the full-circle convention.
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The area formula counts perpendicular separation from the base.
A labelled diagram may support the explanation.
Progress and browser storage
Notebook challenge, sources and further study
Apply the idea
Draw a bearing problem and solve its lengths using a labelled right triangle.
Review with a guardian or teacher
- Use the stated evidence or givens.
- Show reasoning rather than only a result.
- Review and explain one correction.
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