anonymous
  • anonymous
Find the Value of x and y
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
\[ Side~opposite~30~degrees~=~Short~Leg~=~SL=x\]\[Side~opposite~60~degrees~=~Long~leg~=~LL=y\]\[Hypotenuse~=~H\] \[\large SL~=~\frac{1}{2}H\] \[\large LL~=~SL\sqrt{3}\]
anonymous
  • anonymous
im kinda confused tho... how would you solve it

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xapproachesinfinity
  • xapproachesinfinity
if x is the opposite what ratio function would you use?
xapproachesinfinity
  • xapproachesinfinity
what do you know about sin and cosine?
anonymous
  • anonymous
To solve the short leg (x), plug in H for the first formula.
anonymous
  • anonymous
We don't really need sin and cosine for this one, since we have a 30-60-90 triangle. Ez mode
xapproachesinfinity
  • xapproachesinfinity
dear you are using actually that fact!
anonymous
  • anonymous
In the diagram \[\large H=4\sqrt{2}\] So plug that into \[\large SL~=~\frac{1}{2}H\]
xapproachesinfinity
  • xapproachesinfinity
where did you get those ratios you are using otherwise
xapproachesinfinity
  • xapproachesinfinity
those numbers you are using came form sin and cos
anonymous
  • anonymous
I'm well aware of that
xapproachesinfinity
  • xapproachesinfinity
just wanted to point that since you said no need for sin and cos so just for the poster to be cleared where those came from
anonymous
  • anonymous
1/2 * 4 (Sqrt)2
anonymous
  • anonymous
Yep. So what would we get from that?
anonymous
  • anonymous
2.82
anonymous
  • anonymous
Yeah, although it may be easier to leave it in the form of \(2\sqrt{2}\) for now.
anonymous
  • anonymous
alright ...
anonymous
  • anonymous
Now that we know that \(SL = 2\sqrt{2}\) we can plug it into the next formula \[\large LL~=~SL\sqrt{3}\]
anonymous
  • anonymous
so it would be 2sqrt2 * Sqrt 3 ???
anonymous
  • anonymous
Yes. \[\large 2\sqrt{2 \times 3}\]
anonymous
  • anonymous
oh i got it now !! thank you very very much LegendarySadist !!!
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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