# A flagpole casts a shadow of 25 ft. Nearby, a 6-ft tree casts a shadow of 3-ft. What is the height of the flagpole?

Mar 24, 2016

Flagpole height is 50 ft.

#### Explanation:

This is a ratio problem

$\left(\text{height of object")/("length of shadow}\right)$

Let the height of the flagpole be $x$

$\implies \frac{6}{3} = \frac{x}{25}$

$x = \frac{6 \times 25}{3} = 50 f t$