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

m, m Explanation: Let the distance between the buildings be meters, and the height of the tall building be meters. From the top of the small building (height ): From the bottom of the small building: Equating both expressions for : Therefore, and Hence, the height of the tall building and the distance between the buildings .

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NIMCET 2025 — Mathematics PYQ

NIMCET | Mathematics | 2025

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

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