x/ sin112 = 165 / sin 18..........
What is this simplified?

Question

x/ sin112 = 165 / sin 18..........
What is this simplified?

e.mccormick · Answer

$$\frac{x}{\sin 112}=\frac{165}{\sin 18}$$
OK, so law of sines.  If you multiply through by $\sin 112$ you will have x alone and can solve for x at that point.

anonymous · Answer

So x=589.3 ?

e.mccormick · Answer

I got a different answer.  hmmm....
$$\frac{x}{\sin 112}=\frac{165}{\sin 18}\implies x=\frac{165\sin 112}{\sin 18}$$

anonymous · Answer

Wow i set it up wrong... weekend brain .. sorry so its 495.1

e.mccormick · Answer

$sin(112) \approx .9272$ and $sin(18)\approx .3090$

e.mccormick · Answer

Yah, that is what I got.

anonymous · Answer

thanks!!!

e.mccormick · Answer

I have made my share of mistakes and will continue to do so... we all do.  The goal is to just minimize them!

e.mccormick · Answer

$$\downarrow mistakes = \uparrow grades$$

anonymous · Answer

do you think you could help me with another law of sines problem. I'm on the law of sines unit in math and i just don't get it but then when someone explains it to me its better.

e.mccormick · Answer

Well, the law of sines is all about ratios.  I bet the book went through a proof, but it comes down to a basic ratio which is closely related to a fraction.  Do you get that part?

anonymous · Answer

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. 
C = 38°, a = 19, c = 10

e.mccormick · Answer

OK.  So start with a triangle.  Sketch it, fill in what you know.  For example:
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