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.
1 i think other people feel free to change this
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12 feet.
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
No, a ladder leaning against a wall is not in equilibrium. Equilibrium would occur if the forces acting on the ladder were balanced, but in reality, the ladder is subject to gravitational force and may slide or topple over if not properly stabilized.
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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.
1 i think other people feel free to change this
13
No. if the floor is smooth you must have friction between the ladder and the floor, or the ladder would just slide away. Technically you could do without friction between wall and ladder, but even that can be helpful in preventing the ladder from going sideways.
Real-life examples of slope can be seen in various scenarios, such as driving on a hilly road where the slope indicates the steepness of the incline. In construction, the slope of a roof determines how water drains off the surface. In economics, the slope of a demand curve represents the rate at which quantity demanded changes with a change in price. These examples demonstrate how slope is a crucial concept in understanding and analyzing real-world phenomena across different disciplines.
Can give you one. Leadership is leaning the ladder against the right wall, where management ensures the ladder is properly set up.
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The preposition in the sentence is "against." The ladder was leaning against the roof.
12 feet.