A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, $6\mathrm{.}2$ km apart, to be $38$ and $52,$ as shown in the figure.

NOTE: The picture is NOT drawn to scale.

Find the distance of the plane from point $A.$

distance from $A=$ km

Find the elevation of the plane.

height $=$ km

Enter your answer as a number; your answer should be accurate to $2$ decimal places.