Question

use the law of cosines. find b to the nearest tenth.
42.4
31.5
23.3
24.0

Explanation:

Step1: Recall 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

$$
LATEXBLOCK0
$$

Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{574.048}\approx23.96\approx24.0\)

Answer:

24.0