Answer:
C. ![\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin%2055%7D%5E%7B%5Ccirc%7D%7D%7B8%7D%3D%5Cfrac%7B%5Ctext%7BSin%2030%7D%5E%7B%5Ccirc%7D%7D%7Bb%7D)
Step-by-step explanation:
We have been given that in triangle ABC, mA 55, mB-30, and a 8. We are asked to find the equation that we can use to solve the length of side b.
We will use law of sines to solve our given problem.
, where A, B and C represents angle of a triangle corresponding to sides a, b and c respectively.
Upon substituting our given values in law of sines we will get,
![\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin%2055%7D%5E%7B%5Ccirc%7D%7D%7B8%7D%3D%5Cfrac%7B%5Ctext%7BSin%2030%7D%5E%7B%5Ccirc%7D%7D%7Bb%7D)
Therefore, the option C is the correct choice.