In triangle XYZ, ZX = 4 root 2, ZY = 4 root 3, and angle X = 60 degrees.
What is angle Y in degrees?
Hello Guest!
law of sine
\(sin\ 60°:4\sqrt{3}=sin\ y:4\sqrt{2}\\ sin\ y=\frac{4\sqrt{2}\cdot sin\ 60°}{4\sqrt{3}}\\ y=arcsin\ \frac{4\sqrt{2}\cdot sin\ 60°}{4\sqrt{3}}\)
\(\color{blue}y=45°\)
!