A level is set up midway between two wood stakes that are about $200ft$ apart. The rod reading on stake $A$ is $8\mathrm{.}72ft$ and it is $5\mathrm{.}61ft$ on stake $B.$ The level is then moved to point $B$ and set up so that the eyepiece end of the telescope is just touching the rod as it is held plumb on the stake. A reading of $5\mathrm{.}42ft$ is taken on the rod at $B$ by sighting backward through the telescope. The level is then sighted on the rod held on stake $A,$ where a reading of $8\mathrm{.}57ft$ is noted.

If the level had been in perfect adjustment, what reading would have been observed at A from the second setup?