Question

Two poles of height 2 meters and 3 meters are 5 meters apart. The height of the point of intersection of the lines joining the top of each poles to the foot of the opposite pole is,

Accepted Answer

A. For two parallel poles of heights $h_1$ and $h_2$, the height $h$ of the intersection point of cross-lines is independent of the distance between them and is given by: $$h = \frac{h_1 h_2}{h_1 + h_2} = \frac{2 	imes 3}{2 + 3} = \frac{6}{5} = 1.2	ext{ meters.}$$

Two Vertical Poles Intersection Height

Explanation

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