## anonymous one year ago HELPP PLEAAAASE find x.

1. anonymous

2. Nnesha

$\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }$ which one you should use ? to find x you should know one angle and one side

3. anonymous

cos @Nnesha

4. Nnesha

cos is adjacent over hyp do you know the adjacent side of angle 40 ?

5. Nnesha

|dw:1432873984828:dw| opposite over hyp

6. anonymous

sorry. @Nnesha

7. Nnesha

so you have to use sin 40

8. anonymous

ok

9. Nnesha

it's okay why we have to use sin ? bec they gave you opposite side of angle now you know one angle and one side so you can find hyp $\huge\rm sin 40= \frac{ opposite }{ hyp }$ solve^ sin 40 degree

10. anonymous

hey genius in figure its 45 degree

11. Nnesha

ahh thanks

12. Nnesha

|dw:1432874309226:dw| $\huge\rm sin 45= \frac{ opposite }{ hyp }$ ^

13. anonymous

okay and then what? plug in ?

14. Nnesha

what's the length of opposite side of angle 45 ?

15. anonymous

i think i got it, is the answer 11.42? @Nnesha

16. Nnesha

nope how did you get that ?

17. anonymous

oh then maybe i plugged in wrong okay nevermind, please proceed. @Nnesha

18. Nnesha

|dw:1432874592602:dw| the side that touches the angle is adjacent red line is the opposite side of sin 45 angle opposite =6 hyp =x now plug in

19. anonymous

so would it be 6 sq root 2? @Nnesha

20. Nnesha

21. anonymous

oh my answer has to be in a square root form @Nnesha

22. Nnesha

ohh alright then you have to use unit circle sin value is what at 45 angle remember in order pair x coordinate represent cosine and y coordinate represent sin

23. Nnesha

yes that's right .

24. anonymous

okay thank you!! @Nnesha