Final answer:
The appropriate irrigation method for Rangappa, with farmland bordering the river, is river lift irrigation. For Sangappa, whose farmland is removed from the river, well irrigation is proposed. Choice A is the correct answer.
Step-by-step explanation:
Irrigation Methods for Different Landscapes
Rangappa and Sangappa have farmlands in different proximity to a water source, suggesting they should adopt different methods of irrigation. For Rangappa, who has farmland next to the river Krishna, river lift irrigation would be the most suitable method. This involves directly lifting water from the river to irrigate the fields, which is efficient given the proximity to the water source.
On the other hand, Sangappa's farm is away from the river, necessitating a method that can bring water from a distant source or utilize water from beneath the ground. Well irrigation can be appropriate here because it draws groundwater for irrigation purposes, which is especially useful in areas without direct access to river water or sufficient rainfall.
As a result, the correct choices are A: River lift irrigation for Rangappa and B: Well irrigation for Sangappa, making the answer A. A:River lift irrigation; B:Well irrigation.