Python - 152
Reads input from a file called "L"
A=open("L").read()
W=A.find('\n')+1
D=P=-1
while P<0:D+=1;P=A.find(">^
To read from stdin replace the first line with this
import os;A=os.read(0,1e9)
If you need lowercase true/false change the last line to
print`D<5`.lower()