Question

LAW OF SINES??? NEED HELP.​

Answer 1

Answer:

Step-by-step explanation:

We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180.  So we find angle B:

180 - 82 - 55 = 43

So angle B = 43.  Now we can use the Law of Sines to solve for side b:

$\frac{sin(55)}{8}=\frac{sin(43)}{b}$

Cross multiply to get

b sin(55) = 8 sin(43) and divide to solve for b:

$b=\frac{8sin(43)}{sin(55)}$ so

b = 6.6605