Posted by **Anonymous** on Tuesday, December 6, 2011 at 8:44am.

a straight road is inclined 30 degees to the horizontal and a man is walking along the road at the rate of 2 and a half miles an hour. how many feet does he ascend vertically against the force of gravity in 15 minutes?

- physics -
**Steve**, Tuesday, December 6, 2011 at 11:05am
sin30 = 0.5

That means that for every mile traveled on the road (hypotenuse), he rises .5 miles in elevation (opposite side).

So, since 15 min = .25 hr, he has traveled 2.5 * .25 = .625 miles, and gained .3125 miles = 1650 ft in elevation.

That's some steep grade: 50%!

- physics -
**Anonymous**, Wednesday, December 7, 2011 at 8:40am
thanks steve! :)

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