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The two triangles shown are similar triangles.

Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value.

Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height.

(length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height)

tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)

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