SOLUTION: Some mountains in the Alps are very steep and have a grade of 42.7%. To the nearest degree, what angle do these mountains make with a horizontal line.

Algebra ->  Angles -> SOLUTION: Some mountains in the Alps are very steep and have a grade of 42.7%. To the nearest degree, what angle do these mountains make with a horizontal line.       Log On


   



Question 1084735: Some mountains in the Alps are very steep and have a grade of 42.7%. To the nearest degree, what angle do these mountains make with a horizontal line.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the rise of the slope
Let +b+ = the run of the slope
+a%2Fb+=+.427+
Let +theta+ = the angle the mountain
makes with the horizontal
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+tan%28+theta+%29+=+.427+
+theta+=+23.122+
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The angle to the nearest degree is 23 degrees