Question

Law of sine question :DD

Answer 1

Why do you have a question if you know what the law of sines is?

Answer 2

im not sure if i am doing it right

Answer 3

You are!

Answer 4

for a triangle ABC

a/ sinA = b/sinB = c/sinC

Answer 5

\[\frac{ \sin 80 }{ 17 }=\frac{ \sin Z }{ 14 }\]

Answer 6

like that ????

Answer 7

yes

Answer 8

14(sin 80) = 17(sin 17)

Answer 9

\[\frac{ 14 \sin 80 }{ 17 }=\frac{ 17 \sin Z }{ 17 }\]

Answer 10

whats where im lost

Answer 11

^_^
You're actually doing great :)
Now, 17 cancels out here:
\[\frac{ 14 \sin 80 }{ 17 }=\frac{ \cancel{17} \sin Z }{ \cancel{17} }\]

Answer 12

and we get...
\[\Large \sin Z = \frac{14\sin 80^o}{17}\]

Answer 13

but i plugged the remaining in calculator and got a crazy answer

Answer 14

What was it? ^_^

Answer 15

0.81101814953

Answer 16

that cant be right

Answer 17

Ahh... I see.
Because what you got was the SINE of the angle Z :)
You have to run it through \(\large \sin^{-1}\) to get the angle Z itself ^_^
\[\Large Z = \sin^{-1}\left(\frac{14\sin 80^o}{17}\right)\]

Answer 18

oh i forgot to do teh inverse

Answer 19

There's your problem ^_^

I trust it no longer IS a problem? :D

Answer 20

let me try that and see what i get '

Answer 21

I'm sure it'll be more... believable... this time around ^_^

Answer 22

54.1955269839

Answer 23

More reasonable, don't you think? ^_^

Answer 24

Correct, by the way :D

Answer 25

thanks for the clarification :D

Answer 26

No problem ^_^