vertical row of trees 20 metre long Casts a shadow of 16 m long and ground at the same time at our Casts a shadow of 48 metre long on ground determine the height of Tower
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Given = A vertical stick 20m long with a shadow of 10m long on the ground and a tower cast shadow of 50m long on the ground.
Find = height of the tower
Solution =
When shadows are cast by sun which is very far (infinitely), they are parallel and triangles formed by shadow and vertical object are similar.
The height of vertical stick and its shadow will be proportional to the tower, whose height is h and its shadow.
Hence,
h/50 = 20/10
h = 2 *50
h = 100m
Therefore the height of the tower is 100m.
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