Answer:
c=19.5324
Step-by-step explanation:
In given triangle ABC, we have been give values of angle B=55 degree, angle C is right angle and b=16.
Now using those values, we need to find the value of side b.
apply formula of sin
[tex]\sin\left(B\right)=\frac{AC}{AB}[/tex]
[tex]\sin\left(55\right)=\frac{16}{c}[/tex]
[tex]0.819152=\frac{16}{c}[/tex]
[tex]0.819152c=16[/tex]
[tex]c=\frac{16}{0.819152}[/tex]
[tex]c=19.5323944762[/tex]
Hence final answer rounded to four decimal places is c=19.5324
