Problema Solution

A 42 inch tall boy is standing next to a 40 foot tall building. The boy casts a shadow that is 24 inches long. What is the length of the building's shadow.

Answer provided by our tutors

First, we will convert the buildings height to inches so that all of the lengths are in the same dimensions.

40(12)=480inches


The building shadow and height will be proportional to the mans shadow and height. Therefore, we can write:

24/42=x/480


Where 'x' stands for the buildings shadow. Solving for x, we get:

x=274.29 inches


this is the length of the buildings shadow.