Question

Someone help me understand how to do this

Answer 1

Answer:

6.7 cm

Step-by-step explanation:

Answer 2

Answer:

6.7 cm

Step-by-step explanation:

To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...

B = 180° -82° -55° = 43°

Now, you put the numbers you know into the formula given and solve for b.

sin(A)/a = sin(B)/b

sin(55°)/(8 cm) = sin(43°)/b

Cross multiplying gives ...

b·sin(55°) = (8 cm)·sin(43°)

and dividing by the coefficient of b gives you ...

b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm