Question

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

Answer 1

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°