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The angles of depression of the top and ...

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 `30o`and `45o`, respectively. Find the height of the multi-storeyed building and the distance between the two buildings.

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To solve the problem, we need to find the height of the multi-storeyed building (let's denote it as \( h \)) and the distance between the two buildings (denote it as \( x \)). ### Step-by-Step Solution: 1. **Understanding the Problem:** - We have an 8 m tall building (let's denote the top of this building as point C and the bottom as point D). - The angle of depression from the top of the multi-storeyed building (point P) to the top of the 8 m building (point C) is \( 30^\circ \). - The angle of depression from point P to the bottom of the 8 m building (point D) is \( 45^\circ \). ...
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Knowledge Check

  • The angle of depression of the top and the bottom of a 7 m tall building from the top of a tower ar 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

    A
    `7(3+sqrt3)`
    B
    `(7)/(2)(3-sqrt3)`
    C
    `(7)/(2)(3+sqrt3)`
    D
    `7(3-sqrt3)`
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