Respuesta :

Answer:

B=36.97

Step-by-step explanation:

non-right triangle

c/sin C = b/ sin B

[tex]\frac{25}{sin(110)} =\frac{16}{sinB}[/tex]

cross multiply to isolate sinB

25sinB=16sin(110)

divide by 25 and isolate angle B by arccos or sin^-1

B=sin^1 ([tex]\frac{16sin(110)}{25}[/tex])

B= 36.97

sin 110/25=sin B/16
sin Bx25=16xsin 110
B= sin inverse(16xsin 110/25)
B=37.0 degrees.