A pole is broken at a point above the ground due to storm. Its top just touches the ground at a distance of 10√3 m from its foot and makes an angle of 30o with the horizontal. Then height of the pole is:

The broken pole forms a right triangle where: (1) the broken top touches ground 10√3 m away, (2) makes 30° with horizontal, (3) the standing portion is vertical. Let standing portion = h. Then tan 30° = h/(10√3) = 1/√3, giving h = 10. The broken portion = (10√3)/cos 30° = 10√3/(√3/2) = 20. Total pole height = 10 + 20 = 30m. Answer D is correct.