A man walk along straight path at the speed of 4 ft/s. A serchlight is located on the ground 20 ft from thr path and is kept focused on the man. At what rate is the searchlight rotating when the is 15 ft from the poin on the path closest to the searchlight?

A mans walks along a straight path at a speed of 4ft/sec.A search light is located on the ground 20ft from the path and is kept focused on man. At what rate is the search light rotating when the man is 15ft from the point on the path closest to the search light.

A man 2m tall,walks at the rate of (5)/(3)(m)/(s) towards a street light which is (16)/(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 (10)/(3)m from the base of the light?

A man is moving away from a 40-m high tower at a speed of 2 m/s. Find the rate at which the angle of elevation of the top of the tower is changing when he is at a distance of 30 metres from the foot of the tower. Assume that the eye level of the man is 1.6 m from the ground.

A point source of light is hung 30 feet directly above a straight horizontal path on which a man of 6 feet in height is walking.How fast is the man's shadow lengthening and how fast the tip of shadow is moving when he is walking away from the light at the rate of 100 ft/min.

A boy standing on the top of a tower of height 54 ft. throws a packet with a speed of 20 ft/s directly aiming towards his friend standing on the ground at a distance of 72 ft from the foot of the tower. The packet falls short of the person on the ground by x xx(16)/(3) ft. The value of x is

A 13 ft leader is leaning against a house when its base starts to slide away. When the base is 12 ft from the house, then base is moving at the rate of 5 ft/sec. (a) How fast is the top of the ladder sliding down the wall then? (b) At what rate is the area of the triangle formed by the ladder, wall and ground changing then ? (c) At what rate is the angle theta between the ladder and the ground changing then ?

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30^0 . After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is60^0 . Then the time taken (in minutes) by him, from B to reach the pillar, is : (1) 6 (2) 10 (3) 20 (4) 5