Answer:
Option (1)
Step-by-step explanation:
In the given triangle ABC,
By applying tangent rule (tan rule) in the given right triangle,
tan B = [tex]\frac{\text{Opposite side of the angle}}{\text{Adjacent side of the angle}}[/tex]
tan B = [tex]\frac{\text{AC}}{\text{BC}}[/tex]
tan 60° = [tex]\frac{3}{x}[/tex]
x = [tex]\frac{3}{\text{tan60}}[/tex]
x = [tex]\frac{3}{\sqrt{3}}[/tex]
x = [tex]\frac{(\sqrt{3})^2}{\sqrt{3}}[/tex]
x = [tex]\sqrt{3}[/tex]
Therefore, measure of the adjacent side AC = √3 unit
Option (1) will be the answer.
