$2\mathrm{.}4$ Three forces are concurrent at point $O,$ and the tension in cable $T_1=5,000$# with the slope as shown. Determine the magnitudes necessary for $T_2$ and $T_3$ such that the resultant force of $10$ k acts vertically down the axis of the pole. Scale: $1^{\text{'}\text{'}}=2,000$#$.$