Answer:
57.8º
Step-by-step explanation:
According to the law of sines [tex]\frac{sinA}{a}[/tex] = [tex]\frac{sinb}{b}[/tex] = [tex]\frac{sinc}{c}[/tex].
In this triangle we have two sides with two of their angles.
Let's make 8 cm side a with 38º as its angle, and 11 cm side b with x as its angle.
[tex]\frac{sinx}{11}[/tex] = [tex]\frac{sin38}{8}[/tex]
Now we multiply both sides by 11 to get rid of the denominator on the left.
sinx = [tex]\frac{11sin38}{8}[/tex]
To find x, we use inverse sine.
x = sin⁻¹ (11sin38/8)
Plug this into a calculator, and you will get 57.837.
Round this to 57.8º
Hope this helps!
