Mathematics: Aflagpole casts a shadow 10 ft long. a girl standing next to the flagpole casts a shadow 2.5 ft long. if the girl is 5 ft tall how tall is the flagpole

Aflagpole casts a shadow 10 ft long. a girl standing

Ответ:

Amholloway13

12.10.2021

Mathematics

Given:

The scale factor between two circles is $\dfrac{2x}{5y}$ .

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

$\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2$

$\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}$

$\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}$

Therefore, the correct option is D.

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Aflagpole casts a shadow 10 ft long. a girl standing next to the flagpole casts a shadow 2.5 ft long. if the girl is 5 ft tall how tall is the flagpole

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