25. Construction A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position, as shown in the figure. The winch pulls in rope at a rate of - 0.2 meter per second. Find the rate of vertical change and the rate of horizontal change at the end of the pipe when y = 6 meters, ds dr = -0.2 sec (x, y) 13 ft 12 ft 12 m - 3 Nor drawn to meals Figure for 25 Figure for 2629 Sports A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 25 feet per second is 20 feet from third base. At what rate is the player's distance s from home plate changing? 2nd O 12 90 ft "Home 8 12 16 20 Figure for 29 and 30 Figure for 31 30. Sports For the baseball diamond in Exercise 29, suppose the player is running from first base to second base at a speed of 25 feet per second. Find the rate at which the distance from home plate is changing when the player is 20 feet from second base. 31. Shadow Length A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing