determining sudo access

[Donald Russell]

In /etc/profile.d/local.sh I'd like to modify the PATH env variable to
include /sbin /usr/sbin and /usr/local/sbin but only if the user has sudo
access.

I can use sudo -l  but that prompts for the user password unless the user is
configured for NOPASSWD in sudo.

Is there a reasonably convenient way to do this? I suppose I could just
always included those directories at the end of the PATH... then if users
try a restricted command they'll get "requires root" instead of "command not
found".

What do other people do?

Ideally this should work via ssh as well

i.e. from one machine to another I often do something like
ssh -t <machine> sudo sysctl -a

Which fails unless the path is set correctly on the remote machine...
otherwise I have to specify the full path for sudo and sysctl.
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