Answer:
[tex]y\approx573cm[/tex]
Step-by-step explanation:
First, take a look to the picture that I attached, however please note the triangle is not drawn to scale, the figure is just to provide visual aid. As you can see the value of [tex]\angle W =109^{\circ}[/tex] this is because of the sum of the interior angles in a triangle is always equal to 180°. So:
[tex]\angle W + \angle X + \angle Y =180\\\\\angle W = 180- \angle X -\angle Y\\\\\angle W =180-38-33\\\\\angle W=109[/tex]
Now, we can use the law of sines, which states:
[tex]\frac{w}{sin(W)} =\frac{x}{sin(X)} =\frac{y}{sin(Y)}[/tex]
Hence:
[tex]\frac{w}{sin(W)} =\frac{y}{sin(Y)}\\\\\frac{880}{sin(109)} =\frac{y}{sin(38)}\\\\Solving\hspace{3}for\hspace{3}y\\\\y=\frac{880*sin(38)}{sin(109)} \\\\y=572.9999518\approx 573 cm[/tex]
