Question

A statue that is 6 feet tall casts an 8-foot-long shadow. A nearby building casts a 30-foot-long shadow. What is the height of the building?

Answer 1

22.5feet

Explanations:

The sketch of the diagram that represents the statement is given as:

In order to determine the height "H" of the building, we will use the similarity theorem of the triangle as shown:

`(H)/(30)=(6)/(8)`

Cross multiply

`\begin{gathered} 6*30=8* H \\ 180=8H \\ H=(180)/(8) \\ H=22.5feet \end{gathered}`

Hence the height of the building is 22.5feet