Question
The angles of depression of the top and bottom of an 8 m tall building from the top of a multistoreyed building are 30° and 45° respectively. Find the height of the multistoreyed building and the distance between the two buildings.
Solution
Let PC denote the multistroyed building and AB denotes the 8 m tall building.
We have ∠PBD = 30° and ∠PAC = 45°
Let PD = h and AC = BD = x
Now, in 
BPD, tan 300 = 
Comparing (i) and (ii), we gel
Now, total height of mullistroycd building
And distance between two buildings(x)
