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What is the distance between the top of the box and the top of the ladder?

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A cubical box is placed along a wall, and a ladder leans against the wall so it just touches the corner of the box, as shown below.

enter image description here

If the ladder’s length is 4, and the box has a side of 1, what is the distance between the top of the box and the top of the ladder?

posted Jun 4, 2020 by Sandeep Otari

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1 Answer

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Let X = ? and Y the distance between the cube and the ladder at the base
We can write the following equarions,

1 / (1 + X) = Y / ( 1+ Y)
(X + 1)^2 + (Y * 1)^2 = 4^2
By solving the equations
X = 2,78

answer Jun 6, 2020 by anonymous

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