SOLUTION: a roadway rises 5m in a horizontal distance of 1/2 mile. Find the tangent of the angle that it makes with the horizontal.

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Question 894087: a roadway rises 5m in a horizontal distance of 1/2 mile. Find the tangent of the angle that it makes with the horizontal.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Form a right triangle with the rise of 5 m and a run of 1/2 mile.
Convert 1/2 mile to meters (1 foot=0.3048m)
%281%2F2%29%285280%29%280.3048%29=804.7m
The tangent of the angle is the opposite side(rise) divided by the adjacent side(run).
tan%28theta%29=5%2F804.7
tan%28theta%29=+0.0062