A kite is 120 m high and 130 m of string is out. If the kite is moving away horizontally at the rate of 52m/s, find the rate at which the string is being paid out.

A kit is 120m high and 130 m of string is out. If the kite is moving away horizontally at the rate of 52 m/sec, find the rate at which the string is being paid out.

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02m^(3)//s. Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

A kite is movgin horizontally at the height of 151.5 metres. If the speed of the kite is 10m/s, how fast is the string being let out, when the kite is 250 m away from the key who is flying the kite ? The height of the boy is 1.5 m.

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 ball of 0.03 m diameter and 0.3 kg in weight is attached to the end of a thin string of 0.46 m length. If it is rotate uniformly in a horizontal circle at the rate of 15 revolutions per second, what is the tension in the string? Take pi^2 = 9.87 ).

If a train is moving on the circular path of 1500 m radius at the rate of 66km//h, find the angle in radian, if it has in 10 second.

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclinationof the string with the ground is 60^@ . Find the length of the string, assuming that there is no slack in the string

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the sound is 60 ° . Find the length of the string, assuming that there is no slack in the string.

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.