Question

A mirror is placed 35 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall. 45 ft 38 ft 28 ft 24 ft

Answer 1

Applying proportion

we have that

$\begin{gathered} \frac{6}{7.5}=\frac{x}{35} \\ \\ solve\text{ for x} \\ \\ x=\frac{6}{7.5}*35 \\ \\ x=28\text{ ft} \end{gathered}$

The answer is 28 ft