using soh cah toa find length of PN and round answer to nearest tenth of a foot?

Answer:
About 2.6 feet
Step-by-step explanation:
The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side. Therefore:
[tex]\tan 17= \dfrac{x}{8.6} \\\\x=\tan 17 \cdot 8.6\approx 2.6[/tex]
Hope this helps!