An arch is hung 3.6 m directly above a straight horizontal walk along which a boy 1.5 m tall is walking at the rate of 50 m/ min.
a. How fast is the boy's shadow lengthening?
b. How fast is the shadow of his head moving?
Sugar juice is filtering through a conical funnel 20cm deep and 12 cm, across at the top into a cylindrical container whose diameter is 10 cm, when the depth of the juice in the funnel is 10cm.its level is falling at the rate of 1.25cm/min. How fast is the level in therising cylinder