5. Each of the three legs of a tripod is 5 units long, and the angles between each pair of legs are equal and fixed. When it is placed on the ground, the height from the top to the ground is 4 units. Later, one leg is damaged, and 1 unit is cut off from the bottom. When it is placed on the ground again, the height from the top to the ground becomes $\qquad$
5. $\frac{144}{\sqrt{1585}}$