Consider a triangular plot $A B C$ with sides $A B = 7 m , B C = 5 m$ and $C A = 6 m$. A vertical lamp-post at the mid-point $D$ of $A C$ subtends an angle $30 ^ { \circ }$ at $B$. The height (in $m$) of the lamp-post is:\\
(1) $2 \sqrt { 21 }$\\
(2) $\frac { 2 } { 3 } \sqrt { 21 }$\\
(3) $\frac { 3 } { 2 } \sqrt { 21 }$\\
(4) $7 \sqrt { 3 }$