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Mathematics 25 Online
OpenStudy (anonymous):

Find the value of y.

OpenStudy (anonymous):

your full question....?

OpenStudy (anonymous):

yah gimme a sec, im getting the figure

OpenStudy (anonymous):

okies

OpenStudy (anonymous):

OpenStudy (psymon):

Lawof sinesproblem :P

OpenStudy (psymon):

Do you know the equation for law of sines at all?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

kinda, but i dont remember it

OpenStudy (psymon):

\[\frac{ a}{ sinA } = \frac{ b}{ sinB } = \frac{ c }{ sinC }\]

OpenStudy (anonymous):

oh yah!! this one is a bit more complicated doe :/

OpenStudy (psymon):

It's not that bad. Well, in order to do this you need to be able to have both a small and capital letter so you can have complete knowledge of one of the fractions. So which variable do we have both the lowercase and uppercase values of?

OpenStudy (anonymous):

we have both x and y

OpenStudy (psymon):

Well, only x do we have both values of. We have angle Y, but not side y. But either way, those are the 4 values we can use, plugging them into the equation: \[\frac{ 52 }{ \sin52 } = \frac{ y }{ \sin72 }\]

OpenStudy (anonymous):

ok so do we cross multiply?

OpenStudy (psymon):

yep :3

OpenStudy (anonymous):

and then what?

OpenStudy (psymon):

What did you come up with?

OpenStudy (anonymous):

49.45=y*52

OpenStudy (psymon):

Looks like you cross-multiplied incorrectly. In fact, you don't even need to fully cross multiply. \[\frac{ 52 }{ \sin94 } = \frac{ y }{ \sin72 }\] \[\frac{ (52)(\sin72) }{ \sin94 } = y\]

OpenStudy (anonymous):

49.57...?

OpenStudy (anonymous):

49.6

OpenStudy (psymon):

Correct. Looks like thats all ya needed.

OpenStudy (anonymous):

thanks man. always a life saver

OpenStudy (psymon):

Glad to help.

OpenStudy (anonymous):

hey, how do i solve this? 70/sin(88) = z/sin(39) = x/53

OpenStudy (psymon):

Im guessing that should be sin53. But you use 70/sin(88) for both fractions.

OpenStudy (psymon):

\[\frac{ 70 }{ \sin88 } = \frac{ z }{ \sin39 }\] \[\frac{ 70 }{ \sin88 } = \frac{ x }{ \sin53 }\]

OpenStudy (psymon):

error O.o

OpenStudy (anonymous):

? error?

OpenStudy (psymon):

No idea, haha

OpenStudy (anonymous):

urs or mine?

OpenStudy (psymon):

But yeah, you solve for z in 70/sin(88) = z/sin(39) first. Once you do, do the same thing with the other fraction. You would do 70/sin(88) = x/sin(53) And it was showing as error on my end, no idea about yours.

OpenStudy (anonymous):

could you put that in perspective for me? like, the equation thing?

OpenStudy (psymon):

I tried and it was giving me an error. Ill try again.

OpenStudy (psymon):

Yeah, ill have to draw it.

OpenStudy (psymon):

|dw:1375604460396:dw|

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