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A portion of a hiking trail slopes upward at about a 6 angle. To the nearest tenth of a foot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet?

Guest Mar 7, 2017
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We can solve this with the cosine

 

cos(6°) = 120 / D    where D is the distance traveled  ....  rearrange as

 

D  = 120 / cos(6°)  ≈ 120.66 ft

 

[ This is so because of the small angle of slope.....the cosine is almost 1 at 6° ]

 

 

cool cool cool

CPhill  Mar 7, 2017

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