2 multiple choice 1 point use the law of cosines. find b to the nearest tenth. 42.4 31.5 23.3 24.0

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Accepted Answer

# Explanation:
## Step1: Apply the Law of Cosines formula
The Law of Cosines formula is $ b^{2}=a^{2}+c^{2}-2ac\cos B$. Here, $a = 28$, $c = 20$, and $B=57^{\circ}$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
b^{2}&=28^{2}+20^{2}-2\times28\times20\times\cos(57^{\circ})\
b^{2}&=784 + 400-1120\times0.5446\
b^{2}&=1184-610.0\
b^{2}&=574\
b&=\sqrt{574}\
b&\approx23.96\approx24.0
\end{align*}
$$

# Answer:
24.0

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Question

Explanation:

Step1: Apply the Law of Cosines formula

Step2: Substitute the values into the formula

Answer: