Respuesta :

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

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