From the statement of the problem, we know that the relationship between real-world measures and drawing measures is:
![\begin{gathered} \text{ drawing measure }\colon\text{ real-world measure ,} \\ 8\operatorname{cm}\colon3m\text{.} \end{gathered}]()
Now, to find how many meters are 160 cm in the drawing, we multiply the relation above by 160/8, so we have 160 cm at the left:
![\begin{gathered} \text{ drawing measure }\colon\text{ real-world measure ,} \\ (160)/(8)\cdot8\operatorname{cm}\colon(160)/(8)\cdot3m, \\ 160\operatorname{cm}\colon20\cdot3m, \\ 160\operatorname{cm}\colon60m\text{.} \end{gathered}]()
Answer
If the field measures 160 cm in the drawing, it measures 60 m in the real world.