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There is a hypothetical 2 dimensional building of height 5h and width h. Each floor of the building is of height h2. From the top of the 4th floor of this building, there is a slab of length h protruding out of the building, perpendicularly. There is also an infinitely long pole, erected vertically on the terrace of the building. The foot of this pole is on the other end of the building with respect to the slab. A naughty child from the 4th floor crawls onto the slab and tries to see the pole. What is the minimum length of the pole the child cannot see (height measured from the foot of the pole)? Assume that the child is of negligible height and always stays on the slab. The slab is in the same plane as that of the building. |
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Answer» There is a hypothetical 2 dimensional building of height 5h and width h. Each floor of the building is of height h2. From the top of the 4th floor of this building, there is a slab of length h protruding out of the building, perpendicularly. There is also an infinitely long pole, erected vertically on the terrace of the building. The foot of this pole is on the other end of the building with respect to the slab. A naughty child from the 4th floor crawls onto the slab and tries to see the pole. What is the minimum length of the pole the child cannot see (height measured from the foot of the pole)? Assume that the child is of negligible height and always stays on the slab. The slab is in the same plane as that of the building. |
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