Question

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

Explanation:

Step1: Apply law of sines

$\frac{\sin Y}{27}=\frac{\sin63^{\circ}}{28}$

Step2: Solve for $\sin Y$

$\sin Y=\frac{27\times\sin63^{\circ}}{28}$
$\sin Y=\frac{27\times0.891}{28}\approx0.858$

Step3: Find angle Y

$Y = \sin^{- 1}(0.858)\approx59^{\circ}$

Answer:

$59^{\circ}$