Question

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

B = 49°, a = 16, b = 14

Answer 1

lol you all over the map with these huh?

Answer 2

haha yeah

Answer 3

Practice exam probably :P
Do you know the law of sines?

Answer 4

a/sin A = b/sin B = c/sin C

Answer 5

Yeah, it's a practice exam

Answer 6

\[\frac{\sin(49)}{14}=\frac{\sin(A)}{16}\]\[\sin(A)=\frac{16\sin(49)}{14}\]\[A=\arcsin(\frac{16\sin(49)}{14})\]

Answer 7

i get about \(59.6\)
http://www.wolframalpha.com/input/?i=arcsin%2816sin%2849%29%2F14%29

Answer 8

now you can find angle C by making sure that the angles add to 180

Answer 9

C = 71.4° ?

Answer 10

that is what i get, yes

Answer 11

You might only need to go so far due to some of the answers. But yes C=71.4

Answer 12

Okay so C = 71.4° but what is c?

Answer 13

yeah i guess now is the time to look at the choices
since \(C=71.4\) you know
\[\frac{c}{\sin(71.4)}=\frac{14}{\sin(49)}\]

Answer 14

that makes
\[c=\frac{14\sin(71.4)}{\sin(49)}\]

Answer 15

our options:

A = 59.6°, C = 71.4°, c = 11.1; A = 120.4°, C = 10.6°, c = 11.1
A = 59.6°, C = 71.4°, c = 17.6; A = 120.4°, C = 10.6°, c = 3.4

Answer 16

So we don't need to solve for the other values once we find c we are done

Answer 17

once we get c we don't have to do any more work

Answer 18

http://www.wolframalpha.com/input/?i=14sin%2871.4%29%2Fsin%2849%29

Answer 19

ah I see :) thanks both of you

Answer 20

You're welcome, and thank you even though I didn't do much

Answer 21

yw
you did fine

Answer 22

Satellite should give his to her

Answer 23

now you can help @girlfromafrica some more because i am old and tired and going to bed
have fun!