Question

Please help me Solve the right triangle. Round to the nearest tenth, if necessary.

Answer 1

Answer:

c = 32.1

b = 34.4

$m\angle{B}=$ 47 degrees

Step-by-step explanation:

Using sine = opp/hyp. to find side c:

$sin(43)=\frac{c}{47}=32.05392...$

Using cosine = adj/hyp. to find side b:

$cos(43)=\frac{b}{47}=34.37362...$

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