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?

1 Answer
Oct 11, 2017

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

Explanation:

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]