Spanning Tree

Hi,
I set my Vlans Spanning tree priority manually on my Core switch for Vlan 9, and my  Distro switch is using a 100M port that uplinks some access layer switches as the root port and its 1G uplink to the Core as a Desg forwarding port.  The Cost is higher on the 100M port.  Everything seems to work just fine but I'm a little puzzled and wondering if I'm missing something?  Why is the switch at the distro layer saying the 100M port to the access layer is the root?  Or is that the root for the Access layer switches and I am looking at it backwards?  

The ports in question on the Distro switch:
rotary@s07> show spanning-tree interface ge-0/0/47

Spanning tree interface parameters for instance 0

Interface    Port ID    Designated      Designated         Port    State  Role
                         port ID        bridge ID          Cost
ge-0/0/47.0    128:560       128:16  32768.00001da86531    200000  FWD    ROOT  100Mbps port speed link from Access Layer Switches

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rotary@s07> show spanning-tree interface ge-0/1/0    

Spanning tree interface parameters for instance 0

Interface    Port ID    Designated      Designated         Port    State  Role
                         port ID        bridge ID          Cost
ge-0/1/0.0     128:609      128:609  32768.5c5eab668801     20000  FWD    DESG  1Gbps port speed uplink to Core Switch



Thanks,
R