Question

A building casts a shadow 72 meters long. At the same time, a parking meter is 1.2 meters tall casts a shadow that is 0.8 meter long. How tall is the building?

Answer 1

Answer:

108 m

Step-by-step explanation:

If the shadow is 0.8 m but actual parking meter is 1.2 m it means the shadow shrinks original by a factor of $\frac {0.8}{1.2}=\frac {2}{3}$ similarly, if the shadow for the building is 72 m it means it has already been shrunk by a factor of $\frac {2}{3}$ and to get the actual height of the building then we can say that the height be A

$A\times \frac {2}{3}=72\\A=\frac {72\times 3}{2}=108 m$

Therefore, the actual building is 108 m