Question

Help with Law of sines

Answer 1

The information in the following problem allows you to construct 2 triangles, find C1 and C2 . A = 30°, a = 1.5 m, b = 2 m

Answer 2

I am confused on how to draw this into two triangles.

Answer 3

'a' and 'b' are two legs of the triangle..the opposite and the adjacent.

Answer 4

Use Tangent.

Answer 5

Wait..just what exactly is your question?

Answer 6

law of sines states: \[\frac{sin~ A}{a} = \frac{sin~B}{b}=\frac{sin~C}{c}\]

Answer 7

So just match up the angle with the given side while using this ratio to find the unknown side or angle.

Answer 8

Sorry I got disconnected :C

Answer 9

Well The construction is what I dont understand. Like there are two answers, I don't know how to get the second

Answer 10

Then you would do a/sinA=b/sinB to get angle B

Answer 11

\[\frac{ 1.5 }{ \sin30 }=\frac{ 2 }{ sinB }\]

Answer 12

\[\frac{ 2\sin30 }{ 1.5 }\]

Answer 13

\[B=\sin ^{-1}\frac{ 2\sin30 }{ 1.5 }\]

Answer 14

B=41.8 degrees

Answer 15

180-41.8-30=

Answer 16

C=108.2

Answer 17

You've got it.

Answer 18

and this is where my question comes in mind. How do I get c2 ? this will be c 1

Answer 19

Now just crosscheck to see if \(108.2^\circ + 30^\circ + 41.8^\circ = 180^\circ\)

Answer 20

It does

Answer 21

labeling your diagram would help tremendously.

Answer 22

\[\frac{\sin(A)}{a}= \frac{\sin(C)}{c}\]

Answer 23

Question isn't it the other way around?

Answer 24

or does it not matter?

Answer 25

It doesn't matter, really.

Answer 26

Ratios are ratios as long as the angle and side length are in proportion, respectfully.

Answer 27

\[\frac{ 1.5 }{ \sin30 }=\frac{ c }{ \sin108.2 }\]

Answer 28

ok, and solving for c?

Answer 29

\[\frac{ 1.5\sin108.2 }{ \sin30 }\]

Answer 30

mmhmm.

Answer 31

I got c=2.8

Answer 32

Me too

Answer 33

But since we are looking for C1 and C2 C1=108.2 how do we find C2?

Answer 34

Is C2 supposed to be the side measurement? It certainly wouldnt be the angle measurement

Answer 35

It is supposed to be angles based on the answers given to choose from. They are in degrees

Answer 36

s:

Answer 37

C1=108.2°,C2= 48.2°

C1= 48.2°,C2= 41.8°

C1=108.2°,C2= 11.8°

C1=41.8°,C2= 138.2°

these are my options

Answer 38

so its either a or c

Answer 39

@freckles Could you assist?

Answer 40

Ok I'm going to copy what you have from above
so I don't have to keep scrolling up
"The information in the following problem allows you to construct 2 triangles, find C1 and C2 . A = 30°, a = 1.5 m, b = 2 m
"

Answer 41

this is SSA