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 makes an angle of 60° with the ground, when placed against a wall. If the foot of the ladder is 2m away from the wall, then the length of the ladder (in metres) is

A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5m/s. When the base of the ladder is 8 metres from the wall. How fast is the top of the ladder moving down the wall?

A ladder makes an angles 30^(@) with the floor and its lower end is 12m away from the wall. Find the length of the ladder.

A ladder 5 m 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 m away from the wall ?

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/s, then the rate (in cm/s) at which the bottom of the ladder slides away from the wall on the horizontal ground when the top of the ladder is 1 m above the ground is

A body of mass m is suspended by two strings making angles alpha and beta with the horizontal. Find the tensions in the strings.

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.

Find the distance of the line 4x - y=0 from the point P (4,1) measured along the line making an angle 135 degree with the positive x-axis.