Question

Julie is 6 feet tall if she stands 15 feet from the flagpole and holds a cardboard square the edges of the square light up with the top and bottom of the flagpole approximate the height of the flagpole

Answer 1

Using tangent function:

`\begin{gathered} \tan (\theta)=(opposite)/(adjacent) \\ (6)/(15)=(15)/(x-6) \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 6(x-6)=15^2 \\ 6x-36=225 \\ 6x=225+36 \\ 6x=261 \\ x=(261)/(6) \\ x=43.5ft \end{gathered}`