A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?​

Respuesta :

Answer:

The building is 95.6159m tall.

Step-by-step explanation:

Both the pole and the building should have the same ratio of height to shadow length so we can come up with the equation:

[tex]\frac{2.6}{1.38}[/tex] = [tex]\frac{x}{50.75}[/tex]

Then solve for x, it will correspond to the height of the building.

x = 50.75([tex]\frac{2.6}{1.38}[/tex])

x = 95.6159m