A hill station has a road that has road slope grade of 6% or 6÷100. If a vehicle drives 200 miles through that road,how much vertical distance is he covering?

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Answer 1 · 2017-10-11T12:55:39

The vehicle covers #11.98# miles of vertical distance on #200# miles drive .

The vehicle covers #p=6# miles vertical distance on #b=100#

miles horizontal distance covered . #:. tan theta = 6/100=0.06 # or

# theta =tan^-1 0.06 ~~ 3.4336# . The vehicle covers #h=200# miles

in sloped road , so #h,p,b# are hypotenuse, perpendicular and base

of a right angle triangle, # p= h sin theta =200*sin 3.4336 ~~ 11.98#

miles. The vehicle covers #11.98# miles of vertical distance on

#200# miles drive . [Ans]