The length of the shadow of a vertical pillar of length 12 m is 8 m. At the same time the length of the shadow of a tower is 56 m. Find the height of the tower.


Given,
length of the pillar = A1B1 = 12 m
length of the shadow of pillar = A1C1 = 8 m
length of the shadow of the tower = AC = 56 m
Let the length of the tower = AB be x m.
As seen from the figure,
ΔABC is similar to ΔA1B1C1
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