Two ideal electric dipoles $A$ and $B$ having their dipole moment $p_1$ and $p_2$ respectively are placed on a plane with their centres at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$, the resultant electric field is making an angle of $37^{\circ}$ with the axis. The ratio of the dipole moment of $A$ and $B, \frac{p_1}{p_2}$ is : (take $\sin 37^{\circ}=\frac{3}{5}$ )