Answer:
A. 38.2
Step-by-step explanation:
a=2 c=3 B=30
first use law of cosines
to get the third side
3rd side is 1.61
then use law of sines
to get the angle in question
law of cosines is square root of (c=a2+b2﹣2abcosB)
square root of (2^2+3^2﹣2·2·3·cos(30°))≈1.61484
then law of sines
law of sines a=b×(sinα/sinβ)
sin-1 means arc sine
β=sin-1(sinα·b/a)
sin-1(sin(30°)·2/1.61) = sin-1(sin(30°)·2/1.61) = sin-1(0.62) = 38.2
https://www.triangle-calculator.com/?q=a%3D2+c%3D3+B%3D30&submit=Solve
is a great calculator for this
