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

Answer:

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:

$\frac{H}{30}=\frac{6}{8}$

Cross multiply

$\begin{gathered} 6\times30=8\times H \\ 180=8H \\ H=\frac{180}{8} \\ H=22.5feet \end{gathered}$

Hence the height of the building is 22.5feet