Home
Class 10
MATHS
Two houses stand just on the opposite si...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

A ladder leaning against a wall makes an angle of 60o with the ground.If the length of the ladder is 19m ,find the distance of the foot of the ladder from the wall.

A ladder leaning against a wall makes an angle of 60^(@) with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder

A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder.

A ladder leaning against a wall makes an angle of 60 with the horizontal.If the foot of the ladder is 2.5m away from the wall,find the length of the ladder.

A ladder 15m long makes an angle of 60^(@) with the wall. Find the height of the point , where the ladder touches the wall.

A ladder makes an angle of 30^(@) with a wall. If the foot of the ladder is 5 m away from the wall, find the length of the ladder.

A foot of a ladder leaning against the wall of a house is 4 feet from the base of the wall. If the ladder makes a 30^@ angle with the wall, what is the length, in feet, of the ladder ?

A ladder makes an anglesof 60^(@) with the ground when placed against a wall. If the foot of the ladder is 2m away from the wall, the length of the ladder is