A 10-ft ladder slides down a wall as its bottom B is pulled away from the wall (Figure 21). Using the angle as a

A 10-ft ladder slides down a wall as its bottom B is pulled away from the wall (Figure 21). Using the angle θ as a parameter, find the parametric equations for the path followed by

(a) The top of the ladder A,

(b) The bottom of the ladder B, and

(c) The point P on the ladder, located 4 ft from the top. Show that P describes an ellipse.

A 4 P = (x, y) 0 B -X