Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station? (2 points)

Answer:646.39Step-by-step explanation:First we would have to find our angles 90-35=55 (this would be angle A)35-23= 12 (this would be angle B)90+23=113 (this would be angle C)side b was given (146 would be side b)so we would need to find side cto find that we use [tex]\frac{sinB}{b} =\frac{sinC}{c},[/tex] now plug the angles into the correct places and you should get [tex]\frac{sin12}{146}[/tex]=[tex]\frac{sin113}{c}[/tex]. Next cross multiply, then your answer should look like this: csin12=146sin113Furthermore, get the (c) by itself by dividing sin12 into both sides which would be [tex]c=\frac{146sin113}{sin12}[/tex].Lastly, simplify with a calculator which is... [tex]\frac{146sin113}{sin12} = 646.39[/tex] *It would really mean a lot to me if you guys gave this post a thanks*