Two ladders AB and PQ are resting against opposite
walls of an alley. The ladders AB and PQ are 2 m
and 6 m above the ground respectively and T is the
point where the 2 ladders meet.
(i) Given that ATBP is similar to ATAQ, find an
expression, in terms of y, for the length of PA.
(ii) Given that APTM is similar to APQA, find the
length of TM.