Answer:
b = 8
Step-by-step explanation:
Given : A triangle with side a= 12 , b = 6.33 and angles.
To find : What is the value of b in this diagam.
Solution : We have given that side a= 12 , b = 6.33
Angle A = 113.17
Angle B = 37.81 .
By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].
[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].
[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].
On cross multiplication
b * 0.919 = 12 * 0.613 .
b * 0.919 = 7 .356
On dividing by 0.919
b = 8.004
Therefore, b = 8.
