Question

a few law of sines questions! PLEASE HELP!!!

Answer 1

ok, shoot

Answer 2

ill try my best

Answer 3

What grade?

Answer 4

precalculus

Answer 5

ok, whats the question

Answer 6

find the missing sides and angles of that triangle using law of sines

Answer 7

ok, give me a min

Answer 8

are you sure? the unit right now is just law of sines, but we can try law of cosines

Answer 9

the other angle you find easily because the sum is 180

Answer 10

what is the remaining angle?

Answer 11

Yeah so 180-45-15=120

Answer 12

you do not need the law of cosines, you have all three angles

Answer 13

I think I have it from here, Idk why I was confused. Let me try this and Ill tell you guys what I get

Answer 14

\[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] you know three of those four numbers

Answer 15

so 200/sinA=x/sin45

Answer 16

Angle B = 180-60 = 120 degrees
a =

Answer 17

no your equation is not right
use the one i wrote, but put in the numbers that you know

Answer 18

alright, I am officially stuck

Answer 19

do you see the equation i wrote above?

Answer 20

I knew the equation you gave me, I dont know which numbers to plug into it

Answer 21

which one is A, and which one is A

Answer 22

\[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] look at the labelling of the triangle
what is angle A

Answer 23

B

Answer 24

x/45=200/sinB

Answer 25

it depends on how you label it, but you drew the picture with the angles labelled

Answer 26

oops I mean x/sin45=3200/sinB

Answer 27

wait hold on a second
i think i see what the problem is

Answer 28

ohh lol I forgot about the angle

Answer 29

x/sin45=200/sin120

Answer 30

in order to keep all of this striaight, we usually adopt the following convention
the side opposite angle \(A\) is \(a\) , the side opposite angle \(B\) is \(b\) and opposite \(C\) is \(c\)

Answer 31

that way \[\frac{a}{\sin(A)}=\frac{b}{\sin(B)}\] makes sense

Answer 32

Yeah so the equation I just posted should be right

Answer 33

no x's in other words

Answer 34

what side are you solving for?

Answer 35

so then a/sin45=200/sin120

Answer 36

bingo

Answer 37

making \[a=\frac{200\sin(45)}{\sin(120)}\] and a calculator