A vertical lamp post

Geometry Level 4

A vertical lamp post is located at one corner of a level fround. The ground is in the shape of a regular hexagon. A man walks from the foot of the post to the next three corners of the ground in clockwise direction and notices that the angles of elevation of the top of the post from each of these corners are l, m, and n. where l > m > n . Then

cot (l) * cot (n) > cot^2 (m) Both are correct cot^2 (n) = cot^2 (l) + cot^2 (m) None of these