High School

A pole that is 2.8 m tall casts a shadow that is 1.64 m long. At the same time, a nearby tower casts a shadow that is 46.25 m long.

How tall is the tower?

Give your answer to the nearest meter.

Answer :

Final answer:

To find the height of the tower, we can use similar triangles. The ratio of the height of the tower to the length of its shadow is equal to the ratio of the height of the shorter pole to the length of its shadow.

Explanation:

To find the height of the tower, we can use similar triangles. The ratio of the height of the tower to the length of its shadow is equal to the ratio of the height of the shorter pole to the length of its shadow. So, we can set up the equation:

(tower height)/(tower shadow length) = (pole height)/(pole shadow length)

Plugging in the values:
(tower height)/(46.25) = (2.8)/(1.64)

Solving for the tower height:
Tower height = (2.8 * 46.25) / 1.64

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