You work at a pioneer historical site. on this site you have handcarts. one cart has a handle that connects to the center of the wheel. we have to maintain the handle of the cart at an angle of no more than 20° with the ground so the contents do not spill out. the distance from where the handle rests on the ground to the point where the wheel is sitting on the ground is 45 inches. the distance of the center of the wheel to the end of the handle is approximately 48 inches.
questions: a. identify the parts of the handcart wheel that would represent congruent chords and congruent central angles. explain why.
b. find the radius of the wheel.
c. if the measure of the arc from a to b around the outside of the wheel were changed to 72°, what is the new angle the handle makes with the ground? will the contents remain in the handcart at that angle? will the handle rest on the ground?
d. if a pioneer pulling the handcart held the handle at a height of 48 inches off the ground, would the contents of the cart spill out the back? how high can the pioneer lift the handle off the ground before the contents started spilling out?