$ABC$is an equilateral triangle on the horizontal
ground with length of each side equal to a.
Statement-1: If a tower standing at the centre $O$ of the triangle
makes an angle $\alpha$ at each corner such that 

$\alpha ={\tan }^{-1}9,$ then height of the tower is $3\sqrt{3}$

Statement-2: If a tower of height $2a$ standing at one corner
of the triangle makes an angle $\alpha$ at any other corner, then 

$a={\tan }^{-1}2$.