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  • Height of a Room

    Tejashree Katdare

    Tejashree Katdare

    @tejashree-neQ3Bn
    Updated: Oct 24, 2024
    Views: 1.0K
    The floor area of a room is 24 feet by 48 feet, and the space diagonal of the room as 56 feet. can you find the height of the room?
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Replies

  • Saandeep Sreerambatla

    Member • Jul 13, 2010

    The height of the room is 16 feet.
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  • Tejashree Katdare

    Member • Jul 13, 2010

    If x is the diagonal of the floor,
    Then
    x square =24 square + 48 square
    =24 square root of 5
    If h is the height of the room, then
    h square + (24 square root of 5) square = 56 square
    = 16
    Thus the height of the room is 16 feet.
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  • Saandeep Sreerambatla

    Member • Jul 13, 2010

    Yeah that the correct explanation!
    And the easy thing is Space diagonal = SqRoot of (Length[sup]2[/sup]+ breadth[sup]2[/sup]+height[sup]2[/sup])
    so we get the answer directly!!
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