Answer:
Option (1)
Step-by-step explanation:
By applying tangent rule in ΔABD,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB}{BD}[/tex]
BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]
BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]
BD = 200√3 ft
By applying tangent rule in ΔABC,
tan(60°) = [tex]\frac{AB}{BC}[/tex]
[tex]\sqrt{3}=\frac{200}{BC}[/tex]
BC = [tex]\frac{200}{\sqrt{3}}[/tex]
Since, CD = BD - BC
CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]
= 346.41 - 115.47
= 230.94 ft
≈ 230.9 ft
Therefore, Option (1) will be the correct option.
