Trig - Ambiguous Case of the Sine Law

This is the question:

In triangle LMN, angle LMN = 42 degrees, LN = 32mm, and LM = 42 mm. Calculate all possible measures of angle MLN to the nearest degree. Use the sine ratio and show your work.

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1. just crank it out. We know that
sin42°/32 = sinN/42
sinN = 0.878
N = 61.43° or 118.57°
That means that angle L is 76.57° or 19.43°
Now use those to find MN

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posted by oobleck

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