Question

hey!!!!!!!!✌✌✌



answer my question mates....


The angle of depression of the top and the bottom of an 8 metre tall building from the top of a multi-storeyed building at 30°and 45°respectively.find the height of the multistoried building and the distance between the two buildings
​

Answer 1

$\huge{\underline{\mathscr{\purple{answer : }}}}$

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

Answer 2

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