Question

which is the approximate measure of angle y? use the law of sines to find the answer. o 52° o 59° o 64° o 67° law of sines: $\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}$

Explanation:

Step1: Apply law of sines

$\frac{\sin(Y)}{2.7}=\frac{\sin(63^{\circ})}{2.8}$

Step2: Solve for $\sin(Y)$

$\sin(Y)=\frac{2.7\times\sin(63^{\circ})}{2.8}$
$\sin(Y)=\frac{2.7\times0.891}{2.8}\approx0.857$

Step3: Find angle $Y$

$Y = \sin^{-1}(0.857)\approx59^{\circ}$

Answer:

$59^{\circ}$