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A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58
Is this a vertical ladder? Another contributor's answer:Providing that the slide is on level ground and that the ladder is vertical then you have the outline of a right angle triangle with an hypotenuse (the slide) of 3 metres and an adjacent angle of 40 degrees. To find the height of the opposite (the ladder) side of the triangle use the trigonometrical sine ratio: sine = opposite/hypotenuse When the ratio is rearranged: opposite = hypotenuse*sine opposite = 3*sine 40 degrees = 1.928362829 metres So the height of the ladder needs to be nearly 2 metres high.
In effect you have the outline of aright-angled triangle with an adjacent side of 10 ft and an opposite side of 15 ft and you need to find the length of the hypotenuse (which will be the ladder). Use Pythagoras' theorem to find the length of the hypotenuse: adjacent2+opposite2 = hypotenuse2 102+152= 325 square feet The square root of 325 = 18.02775638 feet So the ladder needs to be at least 18 feet in length.
step ladder
12
From the US OSHA Construction standards:1926.1053(b)(1)When portable ladders are used for access to an upper landing surface, the ladder side rails shall extend at least 3 feet (.9 m) above the upper landing surface to which the ladder is used to gain access; or, when such an extension is not possible because of the ladder's length, then the ladder shall be secured at its top to a rigid support that will not deflect, and a grasping device, such as a grabrail, shall be provided to assist employees in mounting and dismounting the ladder. In no case shall the extension be such that ladder deflection under a load would, by itself, cause the ladder to slip off its support.
Approx. 21". If there is space for it, consider the size of a drop down ladder unit, which is more useful than an opening that requires a ladder.
Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio: cosine = adjacent/hypotenuse Which when rearranged is: hypotenuse = adjacent/cosine hypotenuse = 1.17/cosine73 degrees = 4.001755235 So the length of the ladder is 4 metres correct to one significant figure.
An accommodation ladder is a flight of stairs or a ladder for lowering over the side of a ship for access to and from a small boat.
Extension ladder
You should normally have three rungs(steps) past the surface you are climbing to from the ladder. They are a foot apart on most ladders so 15 feet would be close. Add a foot since you have to angle the ladder appropriately(scope) so 16 feet or longer is safe. A 20 foot extension ladder would be a good choice.
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If the cage extendes for more than a specified distance without a landing, then you will need to use fall protection when climbing a caged ladder.
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In the DS game "The Golden Compass," you can access the roof by locating and using the ladder located in the courtyard of Bolvangar. Look for a ladder icon on the touchscreen to interact with it and climb to the roof.
If you are tired of crawling through the small space in your closet to access your attic, you should consider installing an attic ladder. An attic ladder can be installed in your garage or breezeway and will give you better access to your attic than a small crawl space. Most attic ladders come completely assembled, so installing an attic ladder is easy and only takes a few hours. It is much safer to use an attic ladder too, as it offers more stability than a traditional ladder or step stool.