A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ is measured from the axis of the dipole. The dipole is vertically located above an ideal ground plane the figure is. What should be the height of the dipole $\text{H}$ in terms of wavelength so as to get a null in the radiation pattern at an angle of $45^{\circ}$ from the ground plane? Find the direction of maximum radiation also.
