Question

Please help will give brainliest

Answer 1

Answer:

$b = 537$

Step-by-step explanation:

For this triangle we have to

$a=640\\A=70\°\\B=52\°$

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

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537$