Question

Suppose the owner of a bicycle decides to hop on his bike and coast down a hill. if he starts at a point where the elevation is listed as 6500 ft. and coasts down to a point where the elevation is 6000 ft, and he sees from a map that the horizontal distance is listed as 1200 ft. then:

a. what is the percent grade of the hill?
b.what actual distance did he coast?

Answer 1

Percent grade = 100*slope =
`100 ((6500-6000)/(1200)) = 100((5)/(12)) = 41.67 \%`

Actual distance is the hypotenuse to the triangle where 500 and 1200 are the legs of the triangle.

`d = √(500^2 + 1200^2) = 1300`

Answer 2

A. 6,000%      b.  500 FT      ok this might be it