Two poles of heights 10 m and 15 m are 25 m apart. What is the height of the point of intersection of the lines joining the tip of each pole to the foot of the other pole?

Explanation

If two vertical poles of heights a and b are separated by some distance, the height h of the intersection of the lines joining their tips to opposite bases is given by h = \frac{ab}{a+b}. Thus, h = \frac{10 \times 15}{10 + 15} = \frac{150}{25} = 6 m.

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