Step 1: Sizing land for trench-type sanitary filling starts from the standard requirement of roughly 3 to 5 m of trench length for every 100 persons served.
Step 2: Scaling that to a population of 10,000 yields about 300 to 500 m of trench, to which a buffer strip of around 30 m along the boundary is added.
Step 3: Converting to area, one acre is approximately $4046$ square metres, equivalent to a $200 \text{ m} \times 200 \text{ m}$ field, which is sufficient to hold this trench length together with its margin.
Step 4: Hence the land needed for a 2 m deep trench for 10,000 people is one acre.\[\boxed{1 \text{ acre}}\]