Question

I need help with this practice I am having trouble completing it

Answer 1

Using tangent function:

`\begin{gathered} \tan (24)=(y)/(x) \\ and \\ \tan (10)=(y)/(800+x) \end{gathered}`

so:

`\begin{gathered} y=\tan (24)\cdot x \\ \tan (10)=(\tan(24)\cdot x)/(800+x) \\ 800\tan (10)+x\tan (10)-x\tan (24)=0 \\ x(\tan (24)-\tan (10))=800\tan (10) \\ x=(800\tan(10))/(\tan(24)-\tan(10)) \\ \end{gathered}`

Therefore,

`\begin{gathered} y=\tan (24)\cdot(800\tan(10))/(\tan(24)-\tan(10)) \\ y\approx233.6ft \end{gathered}`

Answer:

Approximately 233.6 ft