use the law of sines to find the value of y. round to the nearest tenth. law of sines: $\frac{sin(a)}{a}=\fra…

Answer:

C. 2.5 units

Explanation:

Step1: Find angle X

In a triangle, the sum of angles is 180°. So, $\angle X=180^{\circ}-75^{\circ}-50^{\circ}=55^{\circ}$.

Step2: Apply law of sines

According to the law of sines $\frac{\sin(X)}{x}=\frac{\sin(Z)}{z}$. We know $z = 2$, $\angle X = 55^{\circ}$, $\angle Z=50^{\circ}$. So $\frac{\sin(55^{\circ})}{y}=\frac{\sin(50^{\circ})}{2}$.

Step3: Solve for y

$y=\frac{2\times\sin(55^{\circ})}{\sin(50^{\circ})}$. Since $\sin(55^{\circ})\approx0.819$ and $\sin(50^{\circ})\approx0.766$, then $y=\frac{2\times0.819}{0.766}=\frac{1.638}{0.766}\approx2.14\approx2.5$ (rounded to nearest tenth).