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?

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 c class=

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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

[tex]\begin{gathered} \frac{2}{60}=\frac{5}{h} \\ \text{cross multiply} \\ 2h=300 \\ h=\frac{300}{2} \\ h=150\text{ feet} \end{gathered}[/tex]

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