A man, 2 m tall, walks at the rate of `1 (2)/(3)` m/sec towards a street light which is `5 (1)/(3)` m above the ground. At what rate is the tip of his shadow moving? At what rate is the length of the shadow changing when he is `3 (1)/(3)`m from the light.

Sand is pouring from a pipe at the rate of 1 2 cubic cm./sec. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. At what rate is the height of the sand-cone increasing when the height is 3.5 cm. ?

A man who is 1.6 m tall walks away from a lamp which is 4 m above ground at the rate of 30 m/min. How fast is the man's shadow lengthening?

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time : the length of the shadow cast by another pole 10 m 50 cm high

A ballon is ascending at the rate of 14 ms^-1 at a height of 98 m above ground when a packet is dropped from the balloon. After how much time and with what velocity does it reach the ground.

The radius of a cylinder is increasing at the rate of 2m/sec and its height is decreasintg at the rate of 3 m/sec. Find the rate at which the volume of the cylinder is changing when the radius is 3 m and height is 5 m.

A man of height 2m walks at a uniform speed of 5km/h away from a lamp post which is 6m high. Find the rate at which the length of his shadow increases.

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.