Question

21 multiple choice 1 point use the law of cosines to find the missing angle. in △jkl, j = 6 cm, k = 7 cm, and l = 5.57 cm. find m∠j. 37° 56° 45° 74°

Explanation:

Step1: Recall the Law of Cosines formula

The Law of Cosines formula is \( \cos J=\frac{k^{2}+l^{2}-j^{2}}{2kl}\).

Step2: Substitute the given values

Given \(j = 6\), \(k = 7\), \(l = 5.57\).

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Step3: Find the angle \(J\)

\(J=\cos^{-1}(0.5646)\approx56^{\circ}\)

Answer:

\(56^{\circ}\)