Answer:
Option (1)
Step-by-step explanation:
Given triangle ABC shows the length of side AB = 3 units
Measure of angle A = 66°
Measure of angle C = 38°
By applying Sine rule in the given triangle,
[tex]\frac{\text{Sin}A}{BC}=\frac{\text{Sin}B}{AC}=\frac{\text{Sin}C}{AB}[/tex]
Or [tex]\frac{\text{Sin}A}{a}=\frac{\text{Sin}B}{b}=\frac{\text{Sin}C}{c}[/tex]
By substituting the given measures,
[tex]\frac{\text{Sin}A}{BC}=\frac{\text{Sin}C}{c}[/tex]
[tex]\frac{\text{Sin}66}{BC}=\frac{\text{Sin}38}{3}[/tex]
BC = [tex]\frac{3\times \text{Sin}66}{\text{Sin}38}[/tex]
Therefore, Option (1) will be the answer.
