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Mathematics 8 Online
OpenStudy (anonymous):

please please help:) medals rewarded find x a. 8 b. 8sqrt3 c. 16 sqrt3 d. 1.8 sqrt3

OpenStudy (anonymous):

OpenStudy (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?

OpenStudy (anonymous):

this is geometry

OpenStudy (anonymous):

Okay, then you need to know the rules of a 30-60-90 triangle.

OpenStudy (anonymous):

Do you know how the three legs of a triangle relate?

OpenStudy (anonymous):

not reaally but kinda

OpenStudy (anonymous):

The ratio between short leg : long leg : hypotenuse is \(1 : \sqrt{3} : 2\).

OpenStudy (anonymous):

Knowing that, you can use Pythagoras to solve for \(x\). Being across from the 60º angle, would it be the long leg or the short leg?

OpenStudy (anonymous):

long?

OpenStudy (anonymous):

Right.

OpenStudy (anonymous):

so wouldnt the answer be B to this question?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

That's what I get, yes, since \(\large x = \frac{\sqrt{3}}{2}(h)\)

OpenStudy (anonymous):

wouldnt it be B?

OpenStudy (anonymous):

As I said, yes. \[\large x = \frac{\sqrt{3}}{2}(h) = \frac{16\sqrt{3}}{2} = 8\sqrt{3}\]

OpenStudy (anonymous):

oh sorry their was a freezing problem! thanks so much:)

OpenStudy (anonymous):

No problem. It's being slow on my side, too. Have a good day. :)

OpenStudy (anonymous):

yes you to!!!:)

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