kristenhaveard kristenhaveard
  • 25-12-2017
  • Mathematics
contestada

Use the Law of Sines to find the missing angle of the triangle. Find given that 83, 44, and 31.

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zrh2sfo
zrh2sfo zrh2sfo
  • 25-12-2017
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ikarus ikarus
  • 04-04-2019

Answer:

∠B = 72.7°.

∠C = 76.3°

Step-by-step explanation:

The law of sine sinA /a = sinB/b = sinC/c

Let's find angle C.

(sinC)/c = (sinA)/a

C = sin⁻¹(c·sinA / a)

Plugging in numbers:

C = sin⁻¹(83·sin(31) / 44)

  = sin⁻¹(0.97155) 

 Angle C  = 76.3°

We know that the sum of the internal angles of a triangle is 180°.

Therefore, B = 180 - (A + C) 

  = 180 - (31 + 76.3)

  = 180 - 107.3

  = 72.7°

∠B is 72.7°.

Hope this will helpful.

Thank you.

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