Answer:
c = 32.1
b = 34.4
[tex]m\angle{B}=[/tex] 47 degrees
Step-by-step explanation:
Using sine = opp/hyp. to find side c:
[tex]sin(43)=\frac{c}{47}=32.05392...[/tex]
Using cosine = adj/hyp. to find side b:
[tex]cos(43)=\frac{b}{47}=34.37362...[/tex]
Finding angle B:
It's a right triangle and you're given one of the acute angles, which means you can find the missing third angle. All triangles interior angles add to equal 180 degrees.
180 - (43 + 90) = 47 degrees
