A plane mirror 1 m high hangs on a wall.A man stnds at a distance 2 m away from the mirro.What is the height of the portion of the oposite wall in the room that can be seen by the man in the mirro,without changing the position of his head?The wall is 4m from the mirror.

A ladder 13m long leans against a wall. The foot of the ladder is pulled along the ground away from the wall, at the rate of 1.5m/sec. How fast is the angle theta between the ladder and the ground is changing when the foot of the ladder is 12m away from the wall.

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

A man in a boat rowing away from a cliff 150m high takes 2 minutes to change the angle of elevation of the top of the cliff from 60^@ to 45^@ . The speed of the boat is

An object is 2m away from a lens. Which forms an erect image 1/4th the size of the object, determine the focal length of the lens.What type of the lens is this?

A point source of light B,placed in front of the centre of a mirror of width d,hangs vertically on a wall.A man walds in front of the mirror along a line parallel to the mirror at a distance 2L from it as shown in the figure.The gretest distance over which he can see the image of the light source in the mirror is

What should be the shortest size of a plane mirror, in which a man 1.4 m tall can see his entire body?

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.

Fill in the blanks A person 1 m in front of a mirror seems to be ………… m away from his image.