Two poles are separated by a distance of 3.14 ~m . The resolving power of human eye is 1 ~min of an arc. The maximum distance from which he can identify the two poles distinctly is

Step-by-step solution

Given, distance between poles (d)=3.14 ~m Resoolving power =1 min or 1^ Let maximum distance of two poles from eye to be resolved distinctly be x . Then, angle on eye in minute for two poles can be found using figure given below = d x 180 60 1= 3.14 x 180 60 x= 3.14 180 60 =10794.5=10.8 ~km