Question

Mr. Morris would like to find the height of his favorite rollercoaster at Silver Dollar City. He noticed that he casts a two foot shadow while the rollercoaster casts a 60 foot shadow. If Mr. Morris is 5 feet tall, how tall is the rollercoaster?

Answer 1

He wants to find the height of his favorite rollercoaster . The illustration above can be represented with the diagram below

Both triangles are similar , therefore we can establish a ratio between the triangles

$\begin{gathered} \frac{2}{60}=\frac{5}{h} \\ \text{cross multiply} \\ 2h=300 \\ h=\frac{300}{2} \\ h=150\text{ feet} \end{gathered}$