A ladder 16 cm long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 cm/sec. How fast is its height on the wall decreasing when the foot of the ladder is 4 cm away from the wall?

A ladder 5 cm long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 cm away from the wall ?

A ladder is situated against a wall in such a way that its foot is at a distance of 2.5m away from the wall and its vertex touches a window which is at a height of 6m from the ground.Then the length of the ladder will be

A ladder of length 10m just touches a window 8 m high from the ground on a wall. Find the distance between the foot of the ladder from the wall.

A ladder rest against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x , so that it slides a distance y down the wall making an angle beta with the horizontal. Prove that x=ytan(alpha+beta)/2dot

A ladder rests against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slids a distance y down the wall making an angle beta with the horizontal. Then prove that x = y tan ((alpha + beta)/(2)) .

A ladder of length x meter is leaning against a wall making angle theta with the ground. Which trigonometric ratio would you like to consider to find the height of the point on the wall at which the ladder is touching

Two houses stand just on the opposite sides of a road of a village. A ladder that stands against the wall of the first house is at a distance of 6 metres from the house and makes an angle of 30^(@) with the horizontal line.But if the ladder stands against the wall of the second house keeping its foot at the same point, it makes an angle of 60^(@) with the horizontal line. (a) Find the length of the ladder. (b) Calculate the distance of the foot of the ladder from the foot of the wall of the second house. (c) Find the width of the road. Find the height where the top of the ladder is fixed against the wall of the second house.

A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second. The rate at which the lower end moves on a horizontal floor when it is 12 ft from the wall is

A ladder leaning against a vertical wall is inclined at an angle alpha to the horizontal. On moving its foot 2m away from the wall, the ladder is now inclined at an angle beta . Find the vertical distance moved by the ladder.