Home
Class 12
MATHS
A ladder rests against a wall at an angl...

A ladder rests against a wall at an angle `alpha` to the horizontal, its foot is pulled away from the wall through a distance a, so that it slides a distance b down the wall making an angle `beta` with the horizontal. Show that `a = b tan 1/2(alpha + beta)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

A ladder rests against a wall at an angle alpha to the horizontal. Its foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making an angle beta with the horizontal. Show that: a=b tan(1/2(α+β)) .

A ladder rests against a vertical wall at angle alpha to the horizontal . If is foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making the angle beta with the horizontal , then a =

A ladder rests against a vertical wall at angle alpha to the horizontal . If is foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making the angle beta with the horizontal , then a =

A ladder rests against wall at an angle alpha to the harizontal. Its foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making an angle beta with the horzontal, then tan((alpha+beta)/2) =

ladder rests against a wall at an angle alpha to the horizontal its foot pulled away from the wall through a distance a so that it slides a distance b down the wall making an angle beta with the horizontal.Show that (a)/(b)=(cos alpha-cos beta)/(sin beta-sin alpha)

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=y tan(alpha+beta)/(2)

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. THEN x=

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