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Trigonometry — Sine, Cosine and Area Rules: Solving Real-World Triangle Problems

In Grade 10, you learned to solve right-angled triangles using SOHCAHTOA. But most triangles in the real world do not have a right angle. This unit gives you tools that work for ANY triangle.

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UNIT OVERVIEW

In Grade 10, you learned to solve right-angled triangles using SOHCAHTOA. But most triangles in the real world do not have a right angle. This unit gives you tools that work for ANY triangle.

In this unit, you will learn:

  • The Sine Rule and how to prove it
  • The Cosine Rule and how to prove it
  • The Area Rule for finding the area of any triangle
  • How to solve bearing (navigation) problems
  • How to work with angles of elevation and depression
  • How to choose the correct rule for different problems

Why this matters:

  • Surveyors use these rules to measure land boundaries
  • Pilots calculate flight paths using bearings and distances
  • Architects design roof structures using triangle calculations
  • Engineers plan cell tower placement for network coverage

33 more pages in this lesson

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