The length of the shadow of the television tower is 50 m. At the same time, the length

| January 25, 2021 | education

The length of the shadow of the television tower is 50 m. At the same time, the length of a pupil with a height of 1.8 m is 0.9 m. Calculate the height of the television tower.

We will solve the problem using proportions.

From the condition, we know that the length of the shadow of a television tower is 50 m.At the same time, the length of the shadow of a student 1.8 m tall is 0.9 m.

In order to find the height of the television tower, we compose the proportion, denoting the height of the tower with the variable x and get:

x – 50;

1.8 – 0.9.

x / 1.8 = 50 / 0.9.

We are looking for an unknown extreme term of the proportion, for this we divide the product of the middle terms by the known extreme term of the proportion:

x = (1.8 * 50) /0.9 = 90 / 0.9 = 100 meters tower height.



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