A) \[\frac{4}{3\sqrt{3}}\]
B) \[\frac{\sqrt{3}}{2}\]
C) \[\frac{9}{2}\]
D) \[\frac{\sqrt{3}}{5}\]
E) \[\frac{4\sqrt{3}+1}{6}\]
Correct Answer: A
Solution :
In\[\Delta DCE,\] \[\tan 30{}^\circ =\frac{150}{CD}\Rightarrow CD=\frac{150}{1/\sqrt{3}}\] \[\Rightarrow \] \[CD=\sqrt{3}\times 150\] Now, in\[\Delta DCF,\] \[\tan \theta =\frac{DF}{CD}=\frac{200}{\sqrt{3}.150}=\frac{4}{3\sqrt{3}}\]You need to login to perform this action.
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