Chapter 6.3, Problem 15PRE

A hiking trail is roughly in the shape of a circle with radius $2000\text{ ft}$ . Suppose that a rectangular coordinate system is set up with the origin at the center of the circle. Donna and Eddie start walking from point $A\left(2000,0\right)$ at $220\text{ ft/min}$ . Eddie goes off-trail and walks directly toward the center of the circle and Donna walks along the trail counterclockwise.

a. Find the coordinates of each person after $5\text{ min}$ . Round the coordinates to the nearest foot

b. How far apart are Eddie and Donna after $5\text{ min}$ ? Round to the nearest foot.

c. If Eddie can no longer walk because he sprains his ankle after foolishly leaving the trail, at what bearing would Donna walk to find him? Round to the nearest tenth of a degree.