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The Sine Law

Source: Steel Building - donkeyru/iStock/Getty Images

Let's Start Thinking

Looking up at a communications tower from the base.

GPS satellite over Earth.

Sources: Communications Tower - shaunl/E+/Getty Images; 

GPS Satellite - BlackJack3D/E+/Getty Images

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Lesson Goals

  • State and prove the sine law.
  • Use the sine law to compute one unknown side length or angle in an acute triangle.
  • Use the sine law to determine all side lengths and angles in an acute triangle.

Try This

Determine the length of side \(BC\) in \(\triangle ABC\) to one decimal place of precision.

Triangle ABC. AB = 14.4. Angle A = 57.1 degrees, and angle C=71.2 degrees.