(Sine Law)Is the ambiguous case only used on the angle you just found? For example, if I had two solutions for a triangle, found an angle for Case 1, is that my new reference angle?

Question

(Sine Law)Is the ambiguous case only used on the angle you just found?  For example, if I had two solutions for a triangle, found an  angle for Case 1, is that my new reference angle?

directrix · Answer

I'm not sure. Would you post the actual ambiguous case problem that caused you to post this question? Thanks.

homeworksucks · Answer

Ok, umm give me a sec

homeworksucks · Answer

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homeworksucks · Answer

And we're solving for the bottom side

homeworksucks · Answer

I'm wondering which side would be the reference angle

homeworksucks · Answer

which angle sorry

homeworksucks · Answer

Would it be 35, or the ones that I find after that?

directrix · Answer

@Homeworksucks    Please post the work you have done on this problem so far.

homeworksucks · Answer

So I figured that there would be two solutions, because $$a >b \sin(A)$$

homeworksucks · Answer

And then found the angle adjacent to 35  to be 58 degrees

homeworksucks · Answer

Then subtracted the angles by 180 to find the other one

homeworksucks · Answer

87 degrees,

homeworksucks · Answer

Then found the bottom side using the sine law to 522.3

homeworksucks · Answer

My question is, how do I know which one to consider as the obtuse angle when finding the case 2 triangle?

directrix · Answer

Let me see what I get. Hold on.

directrix · Answer

My first pass at the problem -- 2 triangles

First:      52.8 degrees, 92.19 degrees, and 627.18 for the side

Second:  127.19 degrees, 17.81 degrees, and 191.97 for the side

directrix · Answer

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