Question

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Answer 1

use law of sines

Answer 2

a/sinA=b/sinB=c/sinC
plug in the values given for b, A and B from the picture and solve for a

Answer 3

You know how to find angle A right?

Answer 4

like that? im sure I am setting that up right

Answer 5

Yes that is correct

Answer 6

I dont know where to go next... like i do but i mess up more and then get confused more...

Answer 7

Wait no you flipped the fractions it is the side lengths on top and the sin of the angle on bottom

Answer 8

how will that look like?

Answer 9

a/sin(45)=17/sin120

Answer 10

oh ok

Answer 11

The next step is to find the values of sin(45) and sin(120)

Answer 12

It makes no difference which is on top, the side length or the sine of the angle as long as all fractions are the same.

Answer 13

Oh I was taught that way, but I think the way I said makes it easier to solve

Answer 14

sin(45)=.7071 sin(120)=.8660

Answer 15

yes so what is 17/.8660?

Answer 16

The problem is asking for a.
The circled proportion below has only "a" as an unknown and three known amounts.
Use that proportion to solve for a.

Answer 17

Use cross multiplication to solve for a.
Leave all sines as they are until the last step.
Then enter all amounts in your calculator without rounding off.
Round off only at the end.

Answer 18

a=19.630 ?

Answer 19

@mathstudent55

Answer 20

I don't get that.
Your expression is correct, though.

\(\dfrac{\sin 45}{a} = \dfrac{\sin 120}{17} \)

\(a = \dfrac{17 \sin 45}{\sin 120} \)

What do you get now?

Answer 21

13.88

Answer 22

Correct.

Answer 23

thank you! and thank you for your patience! :D