$ [sudo] vim /etc/sudoers.d/vagrant-hostmanager
Cmnd_Alias VAGRANT_HOSTMANAGER_UPDATE = /bin/cp <HOME>/.vagrant.d/tmp/hosts.local /etc/hosts
%sudo ALL=(root) NOPASSWD: VAGRANT_HOSTMANAGER_UPDATE
Note: In debian-like distribution the sudoer group is called sudo whereas in RHEL familly the group is wheel so change the second line consenquently