A 5-foot-tall woman walks at 7 ft/s toward a street light that is 25 ft above the ground. What is the rate of change of the length of her shadow when she is 16 it from the street light? At what rate is the tip of her shadow moving? Let L be the length of the woman's shadow and let x be the woman's distance from the street light. Write an equation that relates L and x. L = Differentiate both sides of the equation with respect to t. aL 1 dx at dt The rate of change of the length of the woman's shadow is ft/s when she is 19 ft from the street light. (Type an exact answer in simplified form.) The tip of her shadow moves at a rate of ft /s when she is 19 ft from the street light. (Type an exact answer in simplified form.)