the angles of depression of the top and bottom of an 8m tall building from the top and bottom of a multistoreyed buildin are 30 and 45 degrees respectively. find the height of the multistoreyed building and the distance between the twoo buildings. please anser me fast today is my test.
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
AC = DE = x m [Given]
∠FBD = ∠BDE = 30° (Corresponding angles)
∠FBC = ∠BCA = 45° (Corresponding angles)
In Δ ACB,
In Δ BDE,
From (i) and (ii), we get,
Distance between the two building