Question

A tree casts a 65-foot shadow, while a nearby tree that 7 feet tall casts a 5- foot shadow. How tall is the larger tree

Answer 1

For this problem we use similar triangles properties. Since the triangles are similar the sides of the triangles are proportional, meaning that

`\begin{gathered} \frac{\text{x}}{7ft}=(65ft)/(5ft)=13 \\ \end{gathered}`

Solving for x we get:

`x=13\cdot7ft=91\text{ ft}`

Answer: 91 ft.