What's the purpose of learning the Law of Sines and the Law of Cosines? To solve real-life problems! In this section on applications of the two laws, we will apply our trigonometry knowledge to tackle distance problems.
Applications of the sine law and cosine law
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Examples
- Neo left home and drove to a grocery store on a bearing of N15°W. Then he drove to a mall located 11km away from the grocery store. If the mall is 13 km away on a bearing of N60°W from his home, what is the distance between Neo's home and the grocery store?
- Owen sees a firework on a bearing of 290°. Meanwhile 6km due west of Owen, Macy sees the same firework on a bearing of 065°.