A light house is 80 m high. The angle of elevation of its top from a point 80 m away from its foot along the same horizontal line is

1. 60°

2. 45°

3. 30°

4. 90°

An observer at point E, which is at a certain distance from the lamp post AB, finds the angle of elevation of top of lamp post from positions C, D and E as α, β and γ. It is given that B, C, D and E are along a straight line.

Which of the following conditions is satisfied ?

1. tan α > tan β

2. tan β < tan γ

3. tan γ > tan α

4. tan α < tan β