ANSWER
x = 21.6
EXPLANATION
We have that:
c = 23.2
To be able to solve this, we must first find angle
The sum of angles in a triangle is 180 degrees.
This means that:
=> 52 + 70 + 122+ =>
Sine Law says that the ratio of angle and side opposite the angle for any triangle equal.
This means that:
[tex]\frac{\sin A}{a}\text{ = }\frac{\sin B}{b}=\text{ }\frac{\sin C}{c}[/tex]
So, we can say that:
[tex]\begin{gathered} \frac{\sin52}{x}=\text{ }\frac{\sin58}{23.2} \\ \text{Cross}-\text{multiply:} \\ 23.2\cdot\text{ sin52 = x }\cdot\text{sin58} \\ \Rightarrow\text{ x = }\frac{23.2\cdot\text{ sin52}}{\sin58} \\ x\text{ = }21.6 \end{gathered}[/tex]
That is the value of x.
