In the article $"$De Dogs Know CalculusT" the author Timothy Poneingi explaised low he noticed that when he threw a ball diagonally into Labe Michigan along a stright shorelise, his dog Dris seemed to pick the optinal point in which to enter the water so as to minimize his time to reach the ball, as in the figure. He timed the dog and found Elvis could run at $6\mathrm{.}4\frac{m}{h}$ on the sund and swim it $0\mathrm{.}92\frac{m}{s}.$ If Tim stood at point A and threw the hall to a point $B$ in the water, which was a perpendicular Uistunce $10$ m from point $C$ on the shore, where $C$ is a distance $15$ m from where he stood, at what distance $x$ from point $C$ did Evis enter the water if the dog effectively minimized lisis ime to reach the bull $

$($Une decimal notation. Give your answer to two decimal places.$)$

Eivis estered waller a distunce of $$ from point $C.$