In the figure above, what is the Value of PT/PS ?
Well, since triangles $PQT$ and $PRS$ are similar (All three angles equal) I think that the proportion will also be the same between the sides.
$QT$ over $RS$ is 8/10, so the proportion of $PT$ over $PS$ should also be 8/10 (or 4/5) methinks.
Correct me if I'm wrong :)
Triangle PRS similar to PQT.(Since all angles are equal.)
PT/PS= 8/10=4/5 .