JEE Advanced Mathematics question
A vertical, rectangular, thin wall of length metres, height metres runs from east to west. A vertical flagstaff of height metres stands on the top edge of the wall, dividing the wall in the ratio . A man starts walking towards the east from the eastern end of the wall. After walking a distance metres he can just see the top of the flagstaff. Instead, if he walks a distance metres towards the west from the western end then he can see two-thirds of the flagstaff. Then
Solution
*(Figure: ground line Q–W–E–P from west to east, with QW = x, WE = a, EP = x. The wall's top corners are B (above W) and A (above E), at height b. The flagstaff CD stands on the top edge at C, with BC = qa/(p+q) and CA = pa/(p+q), and has height h. Lines of sight are P→A→D (east side) and Q→B→ a point on CD (west
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