A ladder is to be moved horizontally around a corner from a 1.4 m wide hallway to a 3.6 m wide hallway. Determine the length of the longest ladder that can make the turn. Neglect the thickness of the ladder. Include a diagram.



Answer :

Final answer:

To find the distance between the walls, use the Pythagorean theorem and trigonometry.


Explanation:

The distance between the walls can be calculated using trigonometry and the Pythagorean theorem.

Let the distance between the two walls be x meters.

Using the Pythagorean theorem, we have:
x^2 = (8 - 3)^2 + (10 - 1)^2

Solving for x gives the distance between the walls.


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