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

Respuesta :

sqdancefan

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Answer:

  123°

Step-by-step 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°

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