SOLUTION: 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

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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)?
Answer by ikleyn(52943)   (Show Source): You can put this solution on YOUR website!
.
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)?
~~~~~~~~~~~~~~~~~~ 

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 =  =  = 25032.897.


Round to the nearest foot and get the


ANSWER.  The length of the trail is 25033 ft  (rounded).

Solved.



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