A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m lon

Question

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

Accepted Answer

At the same time of day, the sun's rays make equal angles, forming similar right triangles between the objects and their shadows. Height of pole / Shadow of pole = Height of tower / Shadow of tower. 6 / 4 = h / 28. h = (6 28) / 4 = 6 7 = 42 meters.

Triangles

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