Question

Using the law of sines, in triangle ABC, if m 10 years ago

Answer 1

@LegendarySadist I know you already helped me with one like this, but this one is a bit different. How do I solve when it has all three variables?

Answer 2

So

Answer 3

i have it set up like: sin(a)/a=10/b=135/45

Answer 4

Oh, we're looking for a

Answer 5

When we look for side lengths, it's easier to put the side lengths on top. So \[\large \frac{a}{sin(35)}~=~\frac{45}{sin(135)}\]

Answer 6

What about B?

Answer 7

I thought that's what we were solving for at first, but since we're not we can ignore it.

Answer 8

oooh okay so its just extra information?

Answer 9

Well the m<B allowed us to find m<A so not really. Me putting in "b" was extra info though.

Answer 10

okay. so just solve the equation above?

Answer 11

Yep :)

Answer 12

and like the last one multiply both sides by 35 to get a alone?

Answer 13

Well sin(35), but yes

Answer 14

okay one second

Answer 15

I got .900

Answer 16

That's not what I got /:

Answer 17

\[\large a~=~\frac{45 \times sin(35)}{sin(135)}\]

Answer 18

wait what about 33.36?

Answer 19

That's closer, but not exactly it

Answer 20

i put: sin -1 (35*sin(1350/45 into my calculator

Answer 21

There's the problem. We're solving for a, not sina. So no need for asin.

Answer 22

that was my answer when i put that into the calculator

Answer 23

OOOH

Answer 24

okay wait so im confused now when i multiply both sides by sin 35 is that it?

Answer 25

\[\rm \large a~=~\frac{45 \times sin(35)}{sin(135)}\]

Answer 26

36.50?

Answer 27

Correct!

Answer 28

whew! finally haha thank you again youre a lifesaver!

Answer 29

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