A vertical pole 12 m long casts a shadow 8 m long on the ground. At the same time, a tower casts a shadow 40 m long. Find the height of the tower.

Topic: Geometry &amp; Mensuration
Subtopic: Similar Triangles

A45 m

B50 m

C60 m

D75 m

Explanation

By similar triangles: Height1 / Shadow1 = Height2 / Shadow2 => 12 / 8 = H / 40 => 1.5 = H / 40 => H = 60 m.

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