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 1(2)/(3)m/sec towards a street light which is 5(1)/(3)m above the ground.At what rate is tip of his shadow moving? At what rate is the length of the shadow changing when he is 3(1)/(13)m from the base of the 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 160cm tall,walks away from a source of light situated at the top of a pole 6m high at the rate of 1.1m/sec. How fast is the length of his shadow increasing when he is 1metre away from the pole.

A man 180 cm tall walks at a rate of 2m/sec. away, from a source of light that is 9 m above the ground. How fast is the length of his shadow increasing when he is 3 m away from the base of light?

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

A man moves on the path AB. He wants to see the image of the object kept at a perpendicular distance 2d apart from the path. The rays after reflection from the mirror fall on the path as shown. The man can see the image if he runs through the distance x on the path. If the length of the mirror is 4m, find the value of x (in m).

A point source of light along a straight road is at a height of 'a' metres. A boy 'b' metres in height is walking along the road. How fast is his shadow increasing if he is walking away from the light at the rate of 'c' metres per minute ?

Figure shows a man of mass 60 kg standing on a light weighting machine kept in a box of mass 30 kg. The box is haning from a pulley fixed to the ceiling through a light rope, the other end of which is held by the man himswelf. If the man manages to keepthe box at rest, what is the weight shown by the man manages to keep the box at rest, what is the weight shown by the machine? What force should he exert on the rope to get his correct weight on the machine?

A man walked at a speed of 4km/hr from point A to B and came back from point B to A at the speed of 6km/hr .what would be the ratio of the time taken by the main walking from point a to B to that from point B to A?