## katlin95 Group Title please please help:) medals rewarded find x a. 8 b. 8sqrt3 c. 16 sqrt3 d. 1.8 sqrt3 one year ago one year ago

1. katlin95

2. geoffb

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?

3. katlin95

this is geometry

4. geoffb

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

5. geoffb

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

6. katlin95

not reaally but kinda

7. geoffb

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

8. geoffb

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?

9. katlin95

long?

10. geoffb

Right.

11. katlin95

so wouldnt the answer be B to this question?

12. katlin95

?

13. geoffb

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

14. katlin95

wouldnt it be B?

15. geoffb

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

16. katlin95

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

17. geoffb

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

18. katlin95

yes you to!!!:)