Erwin is at an outdoor market. He is walking in a straight line from a fruit stand at a point 65 feet due West of a fountain to a florist at a point 420 feet due North of the fountain. He walks at a constant speed of 5 feet per second.

(a) Draw a diagram showing the location of the fountain, the fruit stand, and the florist, and impose coordinates on the diagram

(b) Write an equation describing Erwin's path through the market.

(c) Write parametric equations for Erwin's position t seconds after he begins walking.