http://tinypic.com/r/zumj53/5
In the following triangle, find the values of the angles B and B', which are the best approximations to the solutions of this ambiguous case.
A. B = 70.05 or B' = 109.95
B. B = 65 or B' = 115
C. B = 56.2 or B' = 123.8
D. B = 67 or B' = 102.2

Question

http://tinypic.com/r/zumj53/5
In the following triangle, find the values of the angles B and B', which are the best approximations to the solutions of this ambiguous case.
 		A.	B = 70.05 or B' = 109.95
 		B.	B = 65 or B' = 115
 		C.	B = 56.2 or B' = 123.8
 		D.	B = 67 or B' = 102.2

anonymous · Answer

Okay so... I have no idea how to do ambiguous cases.

anonymous · Answer

attachment

anonymous · Answer

oh wait. thats the wrong one!

anonymous · Answer

http://tinypic.com/r/qrc5cx/5

anonymous · Answer

i am totally confused
you have two angles, which means you know the third for sure
there is nothing ambiguous about it

anonymous · Answer

ambiguous is where you know two sides and one angle
then there could be an acute or obtuse triangle, depending

anonymous · Answer

I  was looking at the wrong graph! I'm good now

anonymous · Answer

oh lol
find B using law 'o sines, then B'= 180 - B
you good right?

anonymous · Answer

Let me try this out...

anonymous · Answer

k

anonymous · Answer

Thinking!
23.95 and ....

anonymous · Answer

156.05! But they aren't choices

anonymous · Answer

i guess i should see what i get if i am to check it
give me a sec

anonymous · Answer

The choices are in the 50s to 70s?

anonymous · Answer

Let me try again

anonymous · Answer

$$\frac{\sin(45)}{16.5}=\frac{\sin(B)}{22}\iff\frac{ 22\sin(45)}{16.5}=B$$

anonymous · Answer

oops i mean 
$$\frac{22\sin(45)}{16.5}=\sin(B)$$

anonymous · Answer

and so $B$ is the arcsine of all that mess

anonymous · Answer

lets try it

anonymous · Answer

I can't reverse sine on the calculator. So i'm kinda stuck?

anonymous · Answer

i get $70.53$

anonymous · Answer

lol of course you can!

anonymous · Answer

i mean if you are on a computer you can http://www.wolframalpha.com/input/?i=arcsin%2822sin%2845%29%2F16.5%29

anonymous · Answer

OH! Wolfram. Gotcha

anonymous · Answer

i cant remember the last time i used a calculator
maybe to find a percent or something, certainly not for this kind of work
so twentieth century

anonymous · Answer

The closet to 70.53 is A...
LOLZ! I've used wolfram before, but I forgot the same. Its so good!!!

anonymous · Answer

yeah, you probably didn't even have to write what i wrote to get the answer

anonymous · Answer

WOAH! You're already at 100! jealous.

anonymous · Answer

already lol
only been a few years and countless hours