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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.
The distance between the base of the ladder and the wall, x, and the height of the ladder on the wall, y, represent the sides of a right triangle with the ladder as the hypotenuse, h. The objective is to find dy / dt , the rate of change of y with respect to time, t , when h , x and dx / dt , the rate of change of x , are known.
In the UK, stair pitch is the angle the pitch line makes with the horizontal, measured in degrees. The value of the slope, as a ratio, is then the tangent of the pitch angle. Headroom is the height above the nosing of a tread to the ceiling above it. Walkline – for curved stairs, the inner radius of the curve may result in very narrow treads ...
Cages: Cages are optional for fixed ladders with a floor to floor elevation of less than 20' (6100 mm). They are often available for ladders with elevation changes down to 11' (3350 mm). Cages are mandated to begin between 7' and 8'(2250 mm) from the ground and extend the entire length of the ladder.
The ladder paradox (or barn-pole paradox) is a thought experiment in special relativity.It involves a ladder, parallel to the ground, travelling horizontally at relativistic speed (near the speed of light) and therefore undergoing a Lorentz length contraction.
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A game ladder may be used as the ranking system itself, in lieu of a ranking system like Elo. In this case, players are moved up and down the ladder according to competitive results, dictated by previously determined rules. A unique game ladder system is the Masterpoints rating system used for contract bridge by the American Contract Bridge ...
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.