Two ideal electric dipoles A and B, having their dipole moment  ${\mathrm{P}}_1 \mathrm{and} {\mathrm{P}}_2$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  ${37}^0$ with the axis. The ratio of the dipole moment of A and B,  $\frac{P_1}{P_2}$is: (take sin ${37}^0$ = 3/5)