The top of a doorway is designed to be half an ellipse. The width of the doorway is 1.6 m, and the height of the half-ellipse is designed to be 62.4 cm. The crew have nails and string available. They want to trace the half-ellipse with a pencil before they cut the plywood to go over the doorway.
a. How far apart should they place the nails?
b. How long should the string be?