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Two Vertical Poles Intersection Height

XAT 2010 · Quantitative Ability & Data Interpretation · Easy · Quantitative Ability

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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,

  1. A.

    1.2 meters

  2. B.

    1.0 meters

  3. C.

    5.0 meters

  4. D.

    3.0 meters

  5. E.

    None of the above

Answer

A

Explanation

For two parallel poles of heights h1h_1 and h2h_2, the height hh of the intersection point of cross-lines is independent of the distance between them and is given by: h=h1h2h1+h2=2×32+3=65=1.2 meters.h = \frac{h_1 h_2}{h_1 + h_2} = \frac{2 \times 3}{2 + 3} = \frac{6}{5} = 1.2\text{ meters.}

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