A vertical tower stands on a hill with an angle of elevation of $\displaystyle {14.6}^{\circ}$.  At a point $\displaystyle {63.9}$ $\displaystyle {m}$ down the hill from the tower, the angle of elevation to the top of the tower is $\displaystyle {44.5}^{\circ}$. How tall is the tower to the nearest tenth of a meter?