57. Point $K$ is the midpoint of edge $A A_{1}$ of the cube $A B C D A_{1} B_{1} C_{1} D_{1}$, point $L$ lies on edge $B C$. Segment $K L$
is tangent to the sphere inscribed in the cube. In what ratio does the point of tangency divide segment $K L$?
57. $\frac{4}{5}$, starting from point $K$.