zyatraxz zyatraxz
  • 25-04-2021
  • Mathematics
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Respuesta :

jimrgrant1 jimrgrant1
  • 25-04-2021

Answer:

∠ A ≈ 24.1°

Step-by-step explanation:

Using the law of sines , then

[tex]\frac{9}{sinA}[/tex] = [tex]\frac{21}{sin72}[/tex] ( cross- multiply )

21 × sinA = 9 × sin72° ( divide both sides by 21 )

sinA = [tex]\frac{9sin72}{21}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{9sin72}{21}[/tex] ) ≈ 24.1° ( to the nearest tenth )

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