tw101
  • tw101
Using the law of sines, in triangle ABC, if m
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tw101
  • tw101
@LegendarySadist I know you already helped me with one like this, but this one is a bit different. How do I solve when it has all three variables?
anonymous
  • anonymous
So |dw:1436210371264:dw|
tw101
  • tw101
i have it set up like: sin(a)/a=10/b=135/45

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anonymous
  • anonymous
Oh, we're looking for a|dw:1436210449197:dw|
anonymous
  • anonymous
When we look for side lengths, it's easier to put the side lengths on top. So \[\large \frac{a}{sin(35)}~=~\frac{45}{sin(135)}\]
tw101
  • tw101
What about B?
anonymous
  • anonymous
I thought that's what we were solving for at first, but since we're not we can ignore it.
tw101
  • tw101
oooh okay so its just extra information?
anonymous
  • anonymous
Well the m
tw101
  • tw101
okay. so just solve the equation above?
anonymous
  • anonymous
Yep :)
tw101
  • tw101
and like the last one multiply both sides by 35 to get a alone?
anonymous
  • anonymous
Well sin(35), but yes
tw101
  • tw101
okay one second
tw101
  • tw101
I got .900
anonymous
  • anonymous
That's not what I got /:
anonymous
  • anonymous
\[\large a~=~\frac{45 \times sin(35)}{sin(135)}\]
tw101
  • tw101
wait what about 33.36?
anonymous
  • anonymous
That's closer, but not exactly it
tw101
  • tw101
i put: sin -1 (35*sin(1350/45 into my calculator
anonymous
  • anonymous
There's the problem. We're solving for a, not sina. So no need for asin.
tw101
  • tw101
that was my answer when i put that into the calculator
tw101
  • tw101
OOOH
tw101
  • tw101
okay wait so im confused now when i multiply both sides by sin 35 is that it?
anonymous
  • anonymous
\[\rm \large a~=~\frac{45 \times sin(35)}{sin(135)}\]
tw101
  • tw101
36.50?
anonymous
  • anonymous
Correct!
tw101
  • tw101
whew! finally haha thank you again youre a lifesaver!
anonymous
  • anonymous
\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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