Question

Julia uses the shadow of the flagpole to estimate its height. She stands so that the tip of her shadow coin cides with the tip of the flagpole Shadow as shown. Julia is 5 ft tall. The distance from the flagpole to Julia is 28ft and the distance between the tip of the Shadow and Julia is 7 ft. Calculate the height of the flagpole.(ill send the image)

Answer 1

Since the triangles are similar we can formulate the following equation:

$\begin{gathered} \frac{7}{28+7}=\frac{5}{x} \\ \frac{7}{35}=\frac{5}{x}\text{ (Adding)} \\ \frac{1}{5}=\frac{5}{x}\text{ (Simplifying on the right side)} \\ x=\frac{5}{\frac{1}{5}}\text{ (Isolating x)} \\ x=\text{ }25\text{ }(\text{Dividing fractions)} \\ \text{The answer is 25 ft} \end{gathered}$