A tower subtends an angle of 30∘ at a point on the same level as its foot. At a second point 'h' meters above the first point, the depression of the foot of the tower is 60∘. The height of the tower is:
h/3 m
Let the height of tower be H
In triangle ABC
tan30∘=ABAC=HAC .................................. 1
In triangle ADC
tan60∘=CDAC=hAC........................................2
Divide 1 by 2
We get tan30∘tan60∘=Hh
H=h3