Given
h = 220 ft
Procedure
2 triangles are formed.
angle theta is 39 degrees.
[tex]\begin{gathered} \tan 39=\frac{x}{220} \\ x=220\cdot\tan 39 \\ x=178.15 \end{gathered}[/tex]
angle phi is 46 degrees.
[tex]\begin{gathered} \tan 46=\frac{x}{220} \\ x=220\cdot\tan 46 \\ x=227.81 \end{gathered}[/tex]
Length between two posts
[tex]\begin{gathered} T=178.15+227.81 \\ T=405.96 \end{gathered}[/tex]
The length would be 405.96 ft
