anonymous
  • anonymous
Solve the triangle. B = 73°, b = 15, c = 10
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Luigi0210
  • Luigi0210
Let's draw! How are your drawing skills?
anonymous
  • anonymous
pretty average lol
anonymous
  • anonymous
|dw:1378767432540:dw| right?

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anonymous
  • anonymous
|dw:1378767455376:dw|
Luigi0210
  • Luigi0210
Are you solving for a right triangle?
anonymous
  • anonymous
the lesson is law of sines and it says solve the triagle with those numbers that's it
anonymous
  • anonymous
I believe so though
Luigi0210
  • Luigi0210
Check again, if it was a right triangle we'd all be happy
anonymous
  • anonymous
C = 39.6°, A = 67.4°, a ≈ 14.5 Cannot be solved C = 44.8°, A = 62.4°, a ≈ 14.5 C = 39.6°, A = 67.4°, a ≈ 20.3 those are my answers
Luigi0210
  • Luigi0210
This is what our pretty triangle looks like:
Luigi0210
  • Luigi0210
|dw:1378767805937:dw|
anonymous
  • anonymous
ok I see
Luigi0210
  • Luigi0210
So do you know your law of sines?
anonymous
  • anonymous
yes
Luigi0210
  • Luigi0210
Well let's see you apply them to this problem Mr Kramer
anonymous
  • anonymous
\[\frac{ a }{ \sin A }=\frac{ b }{ sinB }=\frac{ c }{ Sin C }\]
anonymous
  • anonymous
what do I do once I have that
anonymous
  • anonymous
something like this? \[\frac{ 15 }{ \sin 73 }=\frac{ c }{ \sin10 }\]
anonymous
  • anonymous
don't give up on me brotherin
Luigi0210
  • Luigi0210
Whoops sorry I was re-learning this: But but yea that looks right, except for that c/sin10
anonymous
  • anonymous
ok whats wrong?
Luigi0210
  • Luigi0210
It's suppose to be 10/sin C
anonymous
  • anonymous
oh yea I see that now duhhh ok now how do I solve from there my friend
Luigi0210
  • Luigi0210
Think of them as fractions where you are trying to solve for a variable
Luigi0210
  • Luigi0210
Btw, the law of sines allows you to flip the fractions around to your liking
anonymous
  • anonymous
just multiply 15*10 ?
Luigi0210
  • Luigi0210
Hold on, rewrite it using the equation editor
Luigi0210
  • Luigi0210
And sorry, I tend to be an awful teacher xD
anonymous
  • anonymous
\[\frac{ 15 }{ \sin73 }*\frac{ 10 }{ sinc }\]
Luigi0210
  • Luigi0210
Now according to law of sines, we are allowed to flip them: \[\frac{\sin73}{15}=\frac{sinC}{10}\] Do you know how to get sinC by itself?
anonymous
  • anonymous
multiply its reciperical?
Luigi0210
  • Luigi0210
Think of sinC/10 as x/10, how do you get x by itself?
anonymous
  • anonymous
get rid of the 10
Luigi0210
  • Luigi0210
Yup, but how? imagine if it was this: \[25=\frac{x}{10}\]
anonymous
  • anonymous
well I know to the opposite of divison is multiply so just multiply each side by 10?
Luigi0210
  • Luigi0210
There you go!
Luigi0210
  • Luigi0210
Now what do you get after you do that?
anonymous
  • anonymous
250= x
Luigi0210
  • Luigi0210
I meant for our original silly xD
anonymous
  • anonymous
or is it 10x
anonymous
  • anonymous
oh lol uhhhh
anonymous
  • anonymous
\[\frac{ 150 }{ \sin730 }=sinc\]?
Luigi0210
  • Luigi0210
You got the right idea. Just multiply it by the top though.
anonymous
  • anonymous
wait what? I did?
Luigi0210
  • Luigi0210
Wait, hold on a few mins
anonymous
  • anonymous
otay
Luigi0210
  • Luigi0210
So I did first few steps:
1 Attachment
Luigi0210
  • Luigi0210
Make sense?
Luigi0210
  • Luigi0210
@llkramer you dead? o:
anonymous
  • anonymous
hey sorry I was in a tuor session on my last problem -_-
Luigi0210
  • Luigi0210
Oh xD But do you understand what I did?
anonymous
  • anonymous
yes :)
anonymous
  • anonymous
now distribute?
Luigi0210
  • Luigi0210
Nope, plug it into your calculator
anonymous
  • anonymous
39.61? that's C
anonymous
  • anonymous
GOT IT THANKS its this one C = 39.6°, A = 67.4°, a ≈ 14.5
Luigi0210
  • Luigi0210
Yup :)

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