Question

How to find this answer using sine or cosine law?

Answer 1

We know that According to Law of Sines :

$\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}$

where A - B - C are the Angles of the Three Vertices of the Triangle

a - b - c are the lengths of the Opposite sides of the Angles of the Respective Vertices A - B - C

From the Given Triangle we Can Notice that :

$\frac{SinC}{28} = \frac{Sin92}{41}$

$SinC = \frac{0.999\times28}{41}$

$SinC = \frac{27.98}{41}$

SinC = 0.682

$C = \sin^-^1(0.682)$

C = 43°