The length of PN is 2.63 feet
Explanation:
Given:
∠P=90°,
∠O=17°,
OP = 8.6 feet
PN = ?
The given triangle is a right angle triangle as one angle is 90°
We know:
[tex]tan \alpha = \frac{perpendicular}{base}[/tex]
[tex]tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet[/tex]
Therefore, the length of PN is 2.63 feet
