An electrician has to repair an electric fault on a pole of height $5$m. She needs to reach a point $1.3$m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of ${60}^0$to the horizontal, would enable her to reach the required position? Also, how far from the foot of the pole should she place the foot of the ladder? ( You may take $\sqrt{3}=1.73$).