susiemartinez2020 susiemartinez2020
  • 21-01-2021
  • Mathematics
contestada

A building casts a shadow 46 feet long. At the same time, a 36 foot tall flagpole costs a shadow of 9.2 feet long. what is the height of the building

Respuesta :

PhantomWisdom PhantomWisdom
  • 26-01-2021

Given :

A building casts a shadow 46 feet long.

At the same time, a 36 foot tall flagpole costs a shadow of 9.2 feet long.

To Find :

The height of the building.

Solution :

Since, all readings are taken in same time.

Ratio of height and shadow remains for all objects.

Let, height of building is H.

So,

[tex]\dfrac{H}{46}=\dfrac{36}{9.2}\\\\H = \dfrac{36}{9.2}\times 46\\\\H = 180\ feet[/tex]

Therefore, height of the building is 180 feet.

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