A network problem [study case]

So the other day i was doing some consulting a problem occur  in a network, causing a failure of inaccessibility to a server created by an application, in other words a client could not connect error type of thing, the client pays a consulter to actually tell him the solution of his problem, so whit that been said, i power on my laptop find some wire to plug in, open a terminal and start the digging (The real values of Ips address have been modified).

First i drop a traceroute to the IP address the client was trying to connect to and found this: