Question 1202113
.
A straight trail with a uniform inclination of 16 degrees leads from a lodge 
at an elevation of 1,000 feet to a mountain lake at an elevation of 7,900 feet. 
What is the length of the trail​ (to the nearest​ foot)?
~~~~~~~~~~~~~~~~~~


<pre>
Make a sketch.


In the sketch, find a right-angled triangle.

Its acute angle is 16°; its opposite vertical leg is b = (7900-1000) = 6900 ft.


They want you find the hypotenuse length "c".


Write  b = c*sin(16°),  or  6900 = c*sin(16°),  and find

    c = {{{6900/sin(16^o)}}} = {{{6900/0.2756373}}} = 25032.897.


Round to the nearest foot and get the


<U>ANSWER</U>.  The length of the trail is 25033 ft  (rounded).
</pre>

Solved.