The value of x in the figure is 21.4
How to solve for x?
To do this, we make use of the following law of sine
[tex]\frac{\sin (A)}{a} = \frac{\sin (B)}{b}[/tex]
Using the values in the question, we have:
[tex]\frac{\sin (x)}{12} = \frac{\sin (42)}{22}[/tex]
Multiply both sides by 12
[tex]\sin (x) = \frac{12\sin (42)}{22}[/tex]
Evaluate the quotient
[tex]\sin (x) = 0.3650[/tex]
Take the arc sine of both sides
x = 21.4
Hence, the value of x is 21.4
Read more about laws of sine at:
https://brainly.com/question/4372174
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