SOLUTION: A straight trail with a uniform inclination of 15° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 8500 feet. What is the length of the trail(

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Question 885949: A straight trail with a uniform inclination of 15° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 8500 feet. What is the length of the trail(to the nearest foot)?
Answer by lwsshak3(11628) About Me  (Show Source):
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A straight trail with a uniform inclination of 15° leads from a lodge at an elevation of 800 feet to a mountain lake at an elevation of 8500 feet. What is the length of the trail(to the nearest foot)?
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Draw a right triangle with the trail as the hypotenuse=x
The side opposite the 15˚ angle=8500-800=7700
sin15˚=x/7700
x=7700/sin15˚=29751
length of the trail=29,751 ft