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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.
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A straight ladder should extend at least 3 feet above the work surface or landing for safe access to and from the ladder. This helps provide stability and a secure handhold when climbing up or down.
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.
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.
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To safely access the roof using a ladder extension, make sure the ladder is long enough to reach the roof and is securely placed on a stable surface. Extend the ladder at least 3 feet above the roof edge for stability. Use proper ladder safety techniques, such as maintaining three points of contact and facing the ladder while climbing. Have someone hold the ladder at the base for added stability.
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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To safely climb a ladder to access your roof, make sure the ladder is on a stable surface and is at the correct angle (about 75 degrees). Always face the ladder and use three points of contact (two hands and one foot or two feet and one hand) while climbing. Do not lean too far to the side and avoid carrying heavy items while climbing. Use a ladder that is tall enough to extend at least 3 feet above the roof edge for easy access.
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.
A ladder is typically considered as a piece of equipment rather than a tool, as it is used for access and support rather than manipulation or work.