Middle School

A pole that is 3.5 m tall casts a shadow that is 1.32 m long. At the same time, a nearby tower casts a shadow that is 46.5 m long. How tall is the tower? Round your answer to the nearest meter.

Answer :

Answer:

123 m

Step-by-step explanation:

Assuming the height of the shadow of tower is taken at the same time the height of shadow of a tree is taken, the magnification factor is the same

The ratio of image to object for tree will be 1.32/3.5=0.377142857

The same ratio is applied for the tower, therefore, the real height of tower will be 46.5/0.377142857
=123.2954545

To the nearest meter, the height is approximately 123 m

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