1.

The angles of depression of the top and the bottom of an 8 m tall building from the top of a multi-storeyed building are 30° and 45°, respectively. Find the heightof the multi-storeyed building and the distance between the two buildings.Don't Spam BSDK​

Answer»

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

Step-by-step explanation:

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