Margot is walking in a straight line from a point 40 feet dueeast of a statue in a park toward a point 34 feet due north of thestatue. She walks at a constant speed of 4 feet per second.
(a) Write parametric equations for Margot's position tseconds after she starts walking. (Round your coefficients to fourdecimal places as needed.)
(b) Write an expression for the distance from Margot's positionto the statue at time t. (Round your coefficients to fourdecimal places as needed.)
(c) Find the times when Margot is 36 feet from the statue.(Round your answers to two decimal places)