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 is placed against a wall which is inclined at an angle 60^@ with the ground. The foot of the ladder is 4.6m. Away from the wall. Then the length of the ladder 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.

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 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?

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 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

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is

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

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.