Per KevinG at http://communities.vmware.com/message/101202
Select "Start"->"All Programs"->"VMware"->"Manage Virtual Networks"
Click on the "Automatic Bridging" tab and uncheck "Automatically choose an available physical network adapter to bridge to VMnet0"
Click on the "Host Virtual Network Mapping" and use the dropdown menu for VMnet0 to select the physical network on the host that you want to bridge to.
I found my VMnet0 adapter bridged to a TAP-Win32 adapter, likely done so during some utility install.