ldjshds ldjshds
  • 07-06-2020
  • Mathematics
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in the following triangle theta=60.Find the values of the angles of the angles B and B'

in the following triangle theta60Find the values of the angles of the angles B and B class=

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sqdancefan
sqdancefan sqdancefan
  • 29-07-2020

Answer:

  A.  B = 64.13° or B' = 115.87°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...

  sin(B)/16 = sin(θ)/15.4

  B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)

  B = 64.13° or B' = 180° -64.13° = 115.87°

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