trignometry

Question

the angle of elevation of the top of the incomplete vertical pillar at a horizontal distance of 100m from its base is 45.if the angle of elevation of the top of the complete pillar at the same point is 60.then the height of the pillar is how much increased

Answer 1

 

It seems strange to find the height of an incomplete pillar and then the height of the complete pillar. (The same pillar is incomplete and complete and has two different heights?)

Anyway, just draw two right triangles; the first is isosceles, legs =100 and the second is 30-60-90 with horizontal leg 100 but vertical leg is longer by factor √3, so that vertical leg is 173.2 m in length.

So you can see the difference between top of taller pillar and the 'incomplete' pillar is about 73.2 m.