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Use the Law of Sines to find the length of AC

Use the Law of Sines to find the length of AC-example-1
User Shahram Kalantari
by
2.9k points

1 Answer

14 votes
14 votes

Answer: 30.78181 meters

The value is approximate. Round that however you need to.

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Step-by-step explanation:

  • lowercase a = side opposite angle uppercase A
  • lowercase b = side opposite angle uppercase B
  • b = AC

Using the law of sines, we can say:

a/sin(A) = b/sin(B)

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

User Sudhishkr
by
3.1k points
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