python3, 95 bytes

Result

AC

Duration

1960ms

Code [DL]

i=input().find('T')
d=-1
while 1:print(' '*d+'*'*(i-d+1)if~d else' '*i+'*');d=input().find('K')

stdin

                                      T           
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                 K                                

stdout

                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                                      *
                 **********************

stderr

Traceback (most recent call last):
  File "/volume/CODE", line 3, in <module>
    while 1:print(' '*d+'*'*(i-d+1)if~d else' '*i+'*');d=input().find('K')
EOFError: EOF when reading a line

strace