The bike is in good condition, recently serviced by the Stanford bike shop. This small bike frame would fit 5"-5.10" perfectly.

Trek 800 Bike Specs

Frame Material Steel
Frame Construction TIG-welded
Bottom Bracket 116mm spindle, Shimano Altus
Spokes 2.0mm stainless steel
Cassette 7-speed, 11-30 teeth
Hubs Alloy
Pedals Resin
Rims 36-hole alloy
Tires 26 x 1.95inch multi-terrain