Answer:
[tex]r = 38584.155\,ft[/tex]
Step-by-step explanation:
The length of the trail is obtained by the definition of sine, where height is the opposite leg and length is the hypotenuse:
[tex]\tan 11^{\textdegree} = \frac{8200\,ft-700\,ft}{r}[/tex]
The length of the trail is:
[tex]r = 38584.155\,ft[/tex]