Angles Depression Bottom Building Bottom Multistoreyed Building Degrees Respectively

The angles of depression of the top and bottom of an 8m tall building from the top … respectively. find the height of the…

Answers:

Let AB and CD be the multi-storeyed building and the building respectively.

 Let  the height of the multi-storeyed building= h m and 

the distance between the two buildings = x m.

 AE = CD = 8 m  [Given]

BE = AB – AE = (h – 8) m 

and 

AC = DE = x m  [Given]

 Also,

 ∠FBD = ∠BDE = 30° (Corresponding angles)

∠FBC = ∠BCA = 45° (Corresponding angles)

 Now,

 In Δ ACB,

 In Δ BDE,

From (i) and (ii), we get,

Distance between the two building