A 12ft tall street light is Making and 18 ft shadow . At the same time a nearby building is making a 72ft shadow how tall is the building?

to solve this problem you write it out like this
[tex] \frac{12}{x} : \frac{18}{72} [/tex]
You would then cross multiply the 12 and 72 to get 864. Then, take the 864 and divide by 18 to get 48.
The building is 48 feet high.

Please give brainliest

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aksnkj aksnkj · Answer 2 · 2021-11-08T14:04:38+01:00

The building and street light are making shadows at the same time. The height of the building will be 48 ft.

Given information:

The height of the street light is 12 ft.

The length of the shadow of the street light is 18 ft.

Length of shadow of building is 72 ft.

Let the height of the building be x.

Now, the two triangles formed by street light and building with its shadow are similar triangles. (Assumption)

So, the sides of the formed triangles will be in the same ratio as per the property of similar triangles.

So, the height x of the building can be calculated as,

[tex]\dfrac{x}{12}=\dfrac{72}{18}\\x=12\times 4\\x=48[/tex]

Therefore, the height of the building is 48 ft.

For more details, refer to the link:

https://brainly.com/question/10472181