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Triangular Navigation in California: Law of Sines and Cosines

Chapter 5 delves into the practical application of the Law of Sines and Cosines in mapping out distances and angles between cities A, B, and C in California. This chapter explores how travelers can effectively navigate the triangle formed by these cities.

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Triangular Navigation in California: Law of Sines and Cosines

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  1. Chapter 5 Law of Sines and Cosines

  2. The Story There are 3 cities in California (knows how to party): City A City B City C The cities on the map make up a triangle. If people want to find and travel the distance between cities, Or the angles on the map, what should they do?
  3. Use the Law of Sines! = = ==
  4. Little a is the route airplanes travel on Little b is the route boats travel Little c is the route cars travel A= airport B=bay C= carport A b c B C a
  5. Law of Cosines a²=b²+c²- 2bc(cosA) Airplane²= boat² + cars²- 2boatcar(Airport) Airplanes can travel over sea and land, and are better than boats and cars. That’s why they go first. However, the letters are interchangeable, as long as you keep the same format (ex c²=a²+b²- 2ab(cosC)
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