Question

I think I might've actually answered this right, but I'm not sure. In the triangle below, I'm supposed to find "b", so the side, not the angle.

First off I found angle B=119.9

So then, I plugged that into the formula:

b=26.4 .sin(119.9)/sin(26.4)

I got that b= 54.10

Is this right???

Answer 1

@ganeshie8 I really tried on this one... Did I use the law of sines correctly?

Answer 2

finding B is a good start, but after that it looks wrong

Answer 3

you're using `law of sines` right ?

Answer 4

Law of sines :

\[\large \dfrac{a}{\sin (A)} = \dfrac{b}{\sin (B)} \]

Answer 5

\[\large \dfrac{24}{\sin (33.7)} = \dfrac{b}{\sin (119.9)} \]

Answer 6

solve \(\large b\)

Answer 7

So! I got b=36.56? At first, I was using the data for C where A should be, so I must've done it wrong? Or it could've just been bad all around..

Answer 8

Also, this is how I put it into wolframalpha

http://www.wolframalpha.com/input/?i=24sin%2833.7%29%3Dbsin%28119.9%29

Answer 9

two mistakes now :
1) you forgot a division sign
2) you need to use degrees

Answer 10

Here is the correct way put it in wolfram :
http://www.wolframalpha.com/input/?i=solve+24%2Fsin%2833.7%29%3Db%2Fsin%28119.9%29&a=TrigRD_D

Answer 11

b = 37.4979

Answer 12

Argh. Okay... I almost got it right!! Now I know..

Answer 13

good :)