Help with math question

Question

anonymous · Answer

Hello, give me a sec.

anonymous · Answer

attachment

kainui · Answer

Where are you having trouble using the law of sines, @vzfreakz ?

anonymous · Answer

@Kainui yes I am.

anonymous · Answer

Oh wait, hold on. Misread it.

anonymous · Answer

It's hard to describe it from this point of view.

hero · Answer

@vzfreakz, you are given △MNP, the measures of ∠N, ∠M, and side MP, and asked to find the length of side NP, correct?

anonymous · Answer

You're correct so far.

hero · Answer

And from this given information it is necessary to apply the Law of Sines, correct?

anonymous · Answer

The Law of sines are these:

sin A/a = sin B/b = sin C/c

But for this question I put, 88(degrees)/22 = 39(degrees)/NP

anonymous · Answer

That's what I try to do, simply apply it just the one above. But not getting the correct answer.

hero · Answer

Yes, that is the general formula for Law of Sines, but in this case, we can state the Law of Sines as

$$\frac{\sin M}{m} = \frac{\sin N}{n} = \frac{\sin P}{p}$$

hero · Answer

Correct?

anonymous · Answer

I understand that part. Yes, I see that you replace the letters by the question that I posted.

hero · Answer

And we can say that variable $m$ corresponds to side NP correct?

anonymous · Answer

Yes it does because it's in the opposite side.

hero · Answer

Because you know, we can represent the triangle in this manner:

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