Two vertical poles of height, m and m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from

Question

Two vertical poles of height,  m and  m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane is:

Canvas Classes · Accepted Answer

🧠 Same Picture as HTDT-008 — The X-Cross Formula

Two vertical poles of heights  m and  m on a horizontal plane. Lines join the top of each pole to the foot of the other. They cross at some point above the plane. Find the height of that crossing point.

This is the same configuration as the classic "two-pole X-cross" problem. The intersection height is given by the famous formula:

,

independent of the horizontal distance between the poles. Memorise this — it is one of the most useful single-l

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