Asereth89 Asereth89
  • 20-05-2019
  • Mathematics
contestada

Please help will give brainliest

Please help will give brainliest class=

Respuesta :

luisejr77
luisejr77 luisejr77
  • 20-05-2019

Answer:

[tex]b = 537[/tex]

Step-by-step explanation:

For this triangle we have to

[tex]a=640\\A=70\°\\B=52\°[/tex]

Now we use the sine theorem to find the length of b:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537[/tex]

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