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The safest angle for a ladder is 75.5°; if it is too shallow, the bottom of the ladder is at risk of sliding, and if it is too steep, the ladder may fall backwards. This angle is achieved by following the 4 to 1 rule for a ladder placed on a vertical wall: for every four feet of vertical height, the ladder foot should move one foot from the wall.
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The ladder itself is capable of being converted into several heights and configurations from a single ladder. Configurations include a straight or extension ladder, an A-frame ladder, a staircase ladder (an uneven A-frame for use on stairs), a 90° ladder, and both sides of a scaffolding trestle achieved through a triple locking hinge.
An attic ladder (US) or loft ladder (UK) is a retractable ladder that is installed into an attic door/access panel. They are used as an inexpensive and compact alternative to having a stairway that ascends to the attic of a building. They are useful in areas with space constraints that would hinder the installation of a standard staircase.
In the mathematical field of graph theory, the ladder graph L n is a planar, undirected graph with 2n vertices and 3n – 2 edges. [ 1 ] The ladder graph can be obtained as the Cartesian product of two path graphs , one of which has only one edge: L n ,1 = P n × P 2 .
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