Q$3.[5$ marks$]$ How long is the shortest ladder that can lean against

the wall and clear a $2$x$1$ abutment as shown in the diagram.

$[$A useful technical item is that the function tan that appears on

your calculator is an abbreviation for the quotient sin$/$cos$.$ It will

be useful to have the tan and tan$1$ functions available for this

problem. Please provide $3-$decimal place accuracy in your calculation of the length of the shortest ladder.