Two large plane mirrors OM and ON are arranged at `150°` as shown in the figure. P is a point object and SS' is a long line perpendicular to the line OP. Find the length of the part of the line SS' on which two images of the point object P can be seen.

Answer

`(2)/(sqrt(3))` m

Explanation

`(AO)/(1m) = "tan"30^(@) , (OB)/(1m) = "tan"30^(@)`

`implies AO + OB = AB = 2 "tan"30^(@) = (2)/(sqrt(3))m`