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In triangle XYZ,  ZX = 4 root 2, ZY = 4 root 3, and angle X = 60 degrees.

What is angle Y in degrees?

May 11, 2022

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What is angle Y in degrees?

Hello Guest!

law of sine

$$sin\ 60°:4\sqrt{3}=sin\ y:4\sqrt{2}\\ sin\ y=\frac{4\sqrt{2}\cdot sin\ 60°}{4\sqrt{3}}\\ y=arcsin\ \frac{4\sqrt{2}\cdot sin\ 60°}{4\sqrt{3}}$$

$$\color{blue}y=45°$$

!

May 12, 2022