Answer:
c = 6.1
Step-by-step explanation:
Given that: B = 18° , C = 152°, and b = 4.
The missing side, c, can be determined by applying the sine rule which states that:
[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]
[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]
c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]
= [tex]\frac{1.8779}{0.3090}[/tex]
= 6.0773
c = 6.1
Therefore, the value of the missing side, c, is 6.1
