## highschoolmom2010 2 years ago Use the Law of Sines to find the values of x and y. Round to the nearest tenth.

1. highschoolmom2010

2. nincompoop

what does the law of sines indicate?

3. highschoolmom2010

law of sine relates the sine of the angle to the opposite

4. nincompoop

$\frac{ a }{ sinA }=\frac{ b }{ sinB }=\frac{ c }{ sinC }$ |dw:1377970093716:dw|

5. timo86m

It is just a ratio. Set one up using the law of sines :)

6. highschoolmom2010

|dw:1377970190365:dw|

7. highschoolmom2010

so $\frac{ \sin 41 }{ y}=\frac{ \sin 62 }{ x }$ like that

8. timo86m

Not really

9. timo86m

|dw:1377970383972:dw|

10. timo86m

Solve for that angle then use it :)

11. highschoolmom2010

XD i do that everytime

12. highschoolmom2010

^^how is it 125???

13. nincompoop

it isn't

14. highschoolmom2010

no it is 77

15. highschoolmom2010

|dw:1377970590585:dw|

16. nincompoop

125 + 62 alone makes up over 180 degrees

17. timo86m

LOL sorry i was looking at the 14 and 41

18. timo86m

|dw:1377970696576:dw|

19. highschoolmom2010

tis ok

20. timo86m

|dw:1377970767098:dw| Then do it for sin 41

21. nincompoop

is everything clear now or do you want further help?

22. highschoolmom2010

eh need help still

23. highschoolmom2010

$14 \sin 62/\sin72=x$ i got 12.9974045582289724 book says it is 12.7

24. timo86m

Did you cross multiply?

25. highschoolmom2010

erm what

26. highschoolmom2010

oh yea i did sorry

27. timo86m

|dw:1377977703338:dw| I think that is how it is done :)

28. highschoolmom2010

im confused ^^

29. timo86m

That is cross multiplication silly sin(62)*14=sin(77)*x

30. timo86m

Look at it like this |dw:1377978428131:dw|

31. highschoolmom2010

i know how to cross mutiply...

32. timo86m

sin(62)*14=sin(77)*x ^ ^ 0.8829*14= 0.9743 * x eazy now?

33. highschoolmom2010

it says round to nearest tenth|dw:1377978723473:dw|

34. timo86m

Oh it is so round :D