9. 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.

B

2 m

P

ym

T

M

xm-

Q

6 m

A