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Answer:
b = 7.76
Step-by-step explanation:
ABC is a triangle. In a triangle, we have the formula as following:
+) Cosine ∠An angle =
As we can see in the figure, Angle B has:
+) Adjacent side a is BA = 10
+) Adjacent side b is BC = 12
+) Opposite side is AC = b
The measure of Angle B is 40°.
Replace these into the formula, we have:
+) Cosine ∠B =
⇔ Cosine 40° =
⇔ 0.766 =
⇔ 0.766 x 240 = 244- b^2
⇔ 183.84 = 244 -b^2
⇔ b^2 = 244 - 183.84 = 60.16
⇔ b = = 7.76