When the bamboo pole is tilted to the top just flush with the water surface, the water depth, water surface and the original position of the bamboo pole form a right triangle. The length of the hypotenuse is the length of the bamboo pole, 2+0.5 = 2.5m; The right angle side is the water depth, 2 meters. So the other right angle side (translation distance is 1.5m).

At this time, the distance to the shore is 2.4- 1.5=0.9 m, which exceeds the distance to the shore, because it can catch objects within 1 m around. So you can save yourself.