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artcher [175]
2 years ago
7

!! HELP PLEASE!!

Mathematics
2 answers:
olasank [31]2 years ago
7 0

Here

  • a=22
  • b=21
  • c=16

Apply law of cosines

\ \ \sf\longmapsto cosB=\dfrac{a^2+b^2+c^2}{2ac}

\ \ \sf\longmapsto cosB=\dfrac{22^2+21^2+16^2}{2(22)(16)}

\ \ \sf\longmapsto cosB=\dfrac{484+441+256}{704}

\ \ \sf\longmapsto cosB=\dfrac{1181}{704}

\ \ \sf\longmapsto cosB=0.42

\ \ \sf\longmapsto B=cos^{-1}(0.42)

\ \ \sf\longmapsto B=64.8°

NARA [144]2 years ago
3 0

Answer:

  • 64.86°

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos ∠B = (a² + c² - b²) / (2ac)
  • cos ∠B = (16² + 22² - 21²) / (2*16*22)
  • cos ∠B = 0.4247
  • m∠B = arccos 0.4247
  • m∠B = 64.86° (rounded to the nearest hundredths)
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