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The angles of depression of the …

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The angles of depression of the top and bottom of a 8m tall building from the top of a multi storied building are 30° and 45°, respectively. Find the height of the multi storied building and the distance between the two buildings.

Posted by Anant Singh 5 years ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 5 years ago

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

King Adithya H M... 5 years ago

The angles of depression of the top and bottom of an 8m tall building from the top and bottom of a multistoreyed building are 30 and 45 degrees respectively. The angles of depression of the top and bottom of an 8m tall building from the top and bottom of a multistoreyed building are 30 and 45 degrees respectively.

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