$A B C D$ is a trapezium such that $B C \| A D$ and $A B=4 cm$. If the diagonals $A C$ and $B D$ intersect at $O$ such that $\frac{A O}{O C}=\frac{D O}{O B}=\frac{1}{2}$, then $B C=$
In $\triangle A B C, D$ and $E$ are points on side $A B$ and $A C$ respectively such that $D E \| B C$ and $A D: D B=3: 1$. If $E A=3.3 cm$, then $A C=$
Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m , the distance between their tops is