In ΔLMN, l = 35 inches, m = 67 inches and n=91 inches. Find the measure of ∠N to the nearest degree.

Raz Omessi asked Nov 18, 2022

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Raz Omessi asked Nov 18, 2022

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15 votes

9514 1404 393

Answer:

123°

Explanation:

From the law of cosines, you know that ...

n² = l² +m² -2lm·cos(N)

Solving for the angle gives ...

N = arccos((l² +m² -n²)/(2lm)) = arccos(-2567/4690) ≈ 123.184°

∠N ≈ 123°

Mohamed Abo Elmagd answered Nov 23, 2022

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