Question

Yay more math can someone help me out

Answer 1

To the nearest tenth, the length of b is 46.2

Explanation:

Using the law of sines,

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

we get,

b = b,

B = 85 degrees

A = 42 degrees

a = 31

so,

(sin(42))/31 = (sin(85))/b

solving for b,

`(sin(42))/31 = (sin(85))/b\\b(sin(42)) =(31) (sin(85))\\b = (31)(sin(85))/sin(42)\\b = 46.1525`

To the nearest tenth,

b = 46.2