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this means that for every four feet of the ladders height you must set out one foot from the place you are working in order to be stable
If the angle between the ladder and the ground is 60 deg, and you know the angle between the ground and the wall is 90 deg, then you have a 30-60-90 degree triangle, which is a common triangle. You should memorize this one. The commonest sides of this right triangle are 4-5-6, with the longest side being the hypoteneuse, in this case the ladder leaning from the ground to the wall. The wall is 4m high, the base of the ladder would be 5m out from the wall, and the length of the ladder is 6m.
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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.
Lean a ladder against a wall. Not too steep . . . Give it a nice angle, for safe climbing. The height is the distance between the ground and the place where it hits the wall. The slant height is the length of the ladder.
This answer uses trigonometry to avoid a lot of work:tangent = opposite/adjacent and tangent*adjacent (base of ladder from the building) = opposite (height of ladder above ground)So: tangent 60 degrees*3 = 5.196152423Therefore: Top of the ladder above ground = 5.2 meters correct to one decimal place.More laborious methodThe right triangle formed by the wall, ground and ladder has sides in the ratio of 1::2::sq-rt-of-3. The shortest side is the one opposite the 30 degree angle, i.e., the given distance from wall to base of the ladder--3 m.The length of the ladder represents the hypotenuse of the triangle, and is twice as long, hence 6 m.And the height of the ladder's top from the ground is proportional to the third side whose length is sq-rt-3 times that of the shortest side. Sq-rt-3 is about 1.732, so height of the ladder's top at the wall is about 5.20 m, or 520 cm.
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The person climbing a ladder has potential energy due to their position and height above the ground. This potential energy can be converted into kinetic energy as the person descends the ladder.
Assuming it is a two section ladder then it must therefore have a minimum length of 28 feet.
A combination ladder can be used in various configurations, such as an extension ladder, step ladder, or staircase ladder. It typically has adjustable locking mechanisms to secure it in the desired position. Users should always make sure the ladder is on stable ground and follow safety guidelines when climbing.
It appears to be a question that involves Pythagoras' theorem of a right angle triangle whereas the dotted line represents the hypotenuse and without any relevant information the height of the ladder from the ground can't be worked out.
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Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.
Its pythagoras: 102 - 52 = vertical height2. So 100-25 = vertical height2. Then the square root of 75 must = vertical height. Which makes the top of the ladder 8.66 feet (8ft 8 inches) from the ground.
this means that for every four feet of the ladders height you must set out one foot from the place you are working in order to be stable