math/geometry
posted by sarah on .
4. The wheels on Devon’s bike have rinch radii. After the front wheel picks up a tack, Devon rolls another d feet and stops. How far above the ground is the tack?
Then,(Continuation) How many degrees does the wheel turn for each foot that it rolls?

the angle he rolls is r/2PIr (in radians)
is 180/pi * r/2PIr in degrees
How high? What is r(1 cos theta?)