anonymous
  • anonymous
please please help:) medals rewarded find x a. 8 b. 8sqrt3 c. 16 sqrt3 d. 1.8 sqrt3
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
You have an angle, as well as hypotenuse and the opposite leg. Which function do you use when you have opposite and hypotenuse: sine, cosine, or tangent?
anonymous
  • anonymous
this is geometry

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anonymous
  • anonymous
Okay, then you need to know the rules of a 30-60-90 triangle.
anonymous
  • anonymous
Do you know how the three legs of a triangle relate?
anonymous
  • anonymous
not reaally but kinda
anonymous
  • anonymous
The ratio between short leg : long leg : hypotenuse is \(1 : \sqrt{3} : 2\).
anonymous
  • anonymous
Knowing that, you can use Pythagoras to solve for \(x\). Being across from the 60ยบ angle, would it be the long leg or the short leg?
anonymous
  • anonymous
long?
anonymous
  • anonymous
Right.
anonymous
  • anonymous
so wouldnt the answer be B to this question?
anonymous
  • anonymous
?
anonymous
  • anonymous
That's what I get, yes, since \(\large x = \frac{\sqrt{3}}{2}(h)\)
anonymous
  • anonymous
wouldnt it be B?
anonymous
  • anonymous
As I said, yes. \[\large x = \frac{\sqrt{3}}{2}(h) = \frac{16\sqrt{3}}{2} = 8\sqrt{3}\]
anonymous
  • anonymous
oh sorry their was a freezing problem! thanks so much:)
anonymous
  • anonymous
No problem. It's being slow on my side, too. Have a good day. :)
anonymous
  • anonymous
yes you to!!!:)

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