Question

a straight trail with a uniform inclination of 11 degrees from a lodge at an elevation of 700 feet to a mountain lake at an elevation of 8200 feet. What is the length of the trail

Answer 1

Answer:

$r = 38584.155\,ft$

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:

$\tan 11^{\textdegree} = \frac{8200\,ft-700\,ft}{r}$

The length of the trail is:

$r = 38584.155\,ft$