A two peg test was conducted on a level and the two readings observed when

the level was in the middle of the two pegs were $1\mathrm{.}550$ and $1\mathrm{.}500.$

The level was then moved to just beyond the highest staff and a reading of $1\mathrm{.}600$

noted to that staff. A reading of $1\mathrm{.}620$ was then noted to the staff at the far end.

Calculate the true difference in height between the two pegs and the reading

that should be observed at the far end if the level was in perfect adjustment i$.$e$.$

the predicted far staff reading.

$0\mathrm{.}050,1\mathrm{.}670$

none of the other answers.

$0\mathrm{.}050,1\mathrm{.}570$

$0\mathrm{.}050,1\mathrm{.}550$

$0\mathrm{.}02,1\mathrm{.}620$