# math/geometry

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4. The wheels on Devon’s bike have r-inch 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?

• math/geometry -

the angle he rolls is r/2PIr (in radians)
is 180/pi * r/2PIr in degrees

How high? What is r(1- cos theta?)

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